2568056976 has 135 divisors (see below), whose sum is σ = 7438775097. Its totient is φ = 827032320.

The previous prime is 2568056969. The next prime is 2568056983. The reversal of 2568056976 is 6796508652.

It is a happy number.

The square root of 2568056976 is 50676.

It is a perfect power (a square), and thus also a powerful number.

2568056976 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 0 + 569 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (2568056969) and next prime (2568056983).

It can be written as a sum of positive squares in only one way, i.e., 123743376 + 2444313600 = 11124^2 + 49440^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 24932541 + ... + 24932643.

Almost surely, 2^2568056976 is an apocalyptic number.

2568056976 is the 50676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568056976

2568056976 is an abundant number, since it is smaller than the sum of its proper divisors (4870718121).

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

2568056976 is a wasteful number, since it uses less digits than its factorization.

2568056976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The cubic root of 2568056976 is about 1369.4143830586.

The spelling of 2568056976 in words is "two billion, five hundred sixty-eight million, fifty-six thousand, nine hundred seventy-six".