2856817152 has 240 divisors, whose sum is σ = 9730186752. Its totient is φ = 789626880.

The previous prime is 2856817123. The next prime is 2856817153. The reversal of 2856817152 is 2517186582.

2856817152 is a `hidden beast` number, since 28 + 568 + 17 + 1 + 52 = 666.

It is a super-2 number, since 2×2856817152² = 16322808479922782208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2856817098 and 2856817107.

It is not an unprimeable number, because it can be changed into a prime (2856817153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998508 + ... + 1001364.

Almost surely, 2^2856817152 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 2856817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865093376).

2856817152 is an abundant number, since it is smaller than the sum of its proper divisors (6873369600).

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

2856817152 is a wasteful number, since it uses less digits than its factorization.

2856817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2900 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 2856817152 is about 53449.2016030174. The cubic root of 2856817152 is about 1418.9294900653.

The spelling of 2856817152 in words is "two billion, eight hundred fifty-six million, eight hundred seventeen thousand, one hundred fifty-two".