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2131880256 = 263311195903
BaseRepresentation
bin111111100010001…
…1110100101000000
312111120111201221000
41333010132211000
513331230132011
6551313332000
7103554453222
oct17704364500
95446451830
102131880256
119a4433210
124b5b67000
1327c8a090c
141631c8412
15c7263356
hex7f11e940

2131880256 has 224 divisors, whose sum is σ = 7198156800. Its totient is φ = 611919360.

The previous prime is 2131880249. The next prime is 2131880269. The reversal of 2131880256 is 6520881312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2131880256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358201 + ... + 364103.

Almost surely, 22131880256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599078400).

2131880256 is an abundant number, since it is smaller than the sum of its proper divisors (5066276544).

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

2131880256 is a wasteful number, since it uses less digits than its factorization.

2131880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2131880256 is about 46172.2888321556. The cubic root of 2131880256 is about 1287.0268358519.

The spelling of 2131880256 in words is "two billion, one hundred thirty-one million, eight hundred eighty thousand, two hundred fifty-six".