2556012672 has 160 divisors (see below), whose sum is σ = 7869876300. Its totient is φ = 822528000.

The previous prime is 2556012659. The next prime is 2556012673. The reversal of 2556012672 is 2762106552.

2556012672 is a `hidden beast` number, since 2 + 5 + 560 + 1 + 26 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2418278976 + 137733696 = 49176^2 + 11736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2556012673) 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 19 ways as a sum of consecutive naturals, for example, 296422 + ... + 304922.

Almost surely, 2^2556012672 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 2556012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934938150).

2556012672 is an abundant number, since it is smaller than the sum of its proper divisors (5313863628).

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

2556012672 is an equidigital number, since it uses as much as digits as its factorization.

2556012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2556012672 is about 50557.0239630459. The cubic root of 2556012672 is about 1367.2701554714.

The spelling of 2556012672 in words is "two billion, five hundred fifty-six million, twelve thousand, six hundred seventy-two".