October 2nd is the 275th day of the year. There are 90 days left.
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Today's number is 2

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2 is the smallest even integer, and defines the even integers (they are those divisible by 2)
Finite multiples of 2 must end in 2, 4, 6, 8, or 0
If the last digit of a whole number is evenly divisible by 2, then the entire number is
2 is the first and smallest prime number
2 is the only even prime number
2 is the third Fibonacci number (1, 1, 2)
Ordinary fractions with 2 for a denominator will not result in an infinite decimal expansion
2 is the base of the binary number system
One can readily count to 1023 in binary in one pass on one's fingers & thumbs
2 is unique in that 2+2 = 2x2 = 2 squared
Powers of two play a significant role in computer programming and computer science
2 is central to the definition of Mersenne Primes (primes that are one less than a power of two)
The square root of 2 is the length of the diagonal of a unit square

2 is Helium
2 is the atomic mass of deuterium
Group 2 of the periodic table is the alkaline earths; its elements usually have a valence of 2

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2 appears twice in R2D2.

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It takes 2 to Tango

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Title 2 of the US Code is THE CONGRESS.

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2 BCE
was the Year of the Consulship of Augustus and Silvanus.
Emperor Augustus was proclaimed Pater Patriae
The Aqua Alsietina Roman aqueduct was constructed.

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2 CE
was the Year of the Consulship of Vinicius and Varus
Publius Alfenus Varus, whoever that may have been, was the consul above, not Varus the Butcher.
Tiberius was allowed to return to Rome
Gaius Caesar signed a treaty with the Parthians who agreed to recognize Roman Claims to Armenia.
In China, Wang Mang, known for having but one wife, Lady Wang, embarked on a course of further personal aggrandisement.
The first Chinese census was completed, showing almost 60 million Chinese

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and somebody said the magic word, Armenia

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On this day in:
1187 -- Saladin captured Jerusalem after 88 years of Crusader control.
1789 -- George Washington sent The Bill of Rights to the States for ratification.
1835 -- The Texas Revolution began
1919 -- Woodrow Wilson was partially paralyzed by a stroke
1925 -- The first test of a working TV system
1944 -- The end of the Warsaw Uprising.
1949 -- The Soviet Union recognised the People's Republic of China
1967 -- Thurgood Marshall became the first African-American justice of the Supreme Court.
1980 -- Michael Myers (Abscam) was expelled from Congress
2007 -- South Korea's President Roh Moo-hyun met with Kim Jong-il in the second Inter-Korean Summit.

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Born this day in:

1452 -- Richard III of England (A man ill shaped, crooked backed, lame armed ... ~Anon.) ***
1800 -- Nat Turner, slave, led Nat Turner's Rebellion
1852 -- William Ramsay, chemist who discovered the Noble (Inert) Gases
1869 -- Mahatma Gandhi, freedom fighter, activist and philosopher
1871 -- Cordell Hull, politician, drafted the UN Charter
1871 -- Martha Brookes Hutcheson, landscape architect
1879 -- Wallace Stevens, poet
1890 -- Groucho Marx, comedian, wit, actor
1895 -- Ruth Cheney Streeter, colonel, first director of the USMCWR
1897 -- Bud Abbott, comedian and actor
1904 -- Graham Greene, author
1909 -- Alex Raymond, cartoonist, creator of Flash Gordon
1911 -- Jack Finney, author
1937 -- Johnnie Cochran, attorney
1938 -- Nick Gravenites, singer, songwriter and guitarist
1945 -- Don McLean, ditto
1947 -- Ward Churchill, author and activist
1949 -- Annie Leibovitz, photographer
1951 -- Coco Montoya, singer, songwriter, guitarist, bluesbreaker
1951 -- Sting, singer, songwriter, bassist
1967 -- Gillian Welch, singer, songwriter, guitarist

*** Now is the winter of our discontent, made glorious summer by this sun of York ... (Big Willy Shakes)

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Died this day in:

1803 -- Samuel Adams, politician
1927 -- Svante Arrhenius, physical chemist, did computations for the Arrhenius effect
1947 -- P. D. Ouspensky, follower of Gurdjieff and "the fourth way"
1968 -- Marcel Duchamp, painter, sculptor, dadaist
1973 -- Paavo Nurmi, the Flying Finn
1981 -- Harry Golden, journalist and author
1998 -- Gene Autry, actor, singer, guitarist
2016 -- Neville Marriner, conductor.

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Holidays, Holy Days, Festivals, Feast Days and such:
International Day of Non-Violence

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So, for music,
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TWO
Tea for Two

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Two Good Men

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Love Me Two Times

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It Takes Two

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Two Plus Two

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Topsy, Part Two

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Two Hearts

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Two Tickets to Paradise

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two of Us

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Two Thousand Light Years From Home

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Two Lovers

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Two Steps Away

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The Entertainer, A Rag Time Two Step

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Louisiana Two Step

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Spanish Two Step

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New Spanish Two Step

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Texas Two Step

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Two Steps From The Blues

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Saladin

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Groucho

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Nick Gravenites

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Don McLean

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Coco Montoya

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Sting

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Gillian Welch

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Gene Autry

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Sir Nevile Marriner

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Bonus:
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photo of original in the Pompidou by enhydra lutris