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2132875920 = 243572293619
BaseRepresentation
bin111111100100001…
…0001101010010000
312111122101022201110
41333020101222100
513332004012140
6551350533320
7103566101100
oct17710215220
95448338643
102132875920
119a4a5327a
124b6367240
1327cb5bb76
141633a7200
15c73ad380
hex7f211a90

2132875920 has 240 divisors, whose sum is σ = 7730130240. Its totient is φ = 485065728.

The previous prime is 2132875907. The next prime is 2132875931. The reversal of 2132875920 is 295782312.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3445371 + ... + 3445989.

It is an arithmetic number, because the mean of its divisors is an integer number (32208876).

Almost surely, 22132875920 is an apocalyptic number.

2132875920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865065120).

2132875920 is an abundant number, since it is smaller than the sum of its proper divisors (5597254320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132875920 is a wasteful number, since it uses less digits than its factorization.

2132875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2132875920 is about 46183.0696251343. The cubic root of 2132875920 is about 1287.2271671231.

The spelling of 2132875920 in words is "two billion, one hundred thirty-two million, eight hundred seventy-five thousand, nine hundred twenty".