2562800256 has 256 divisors, whose sum is σ = 8225280000. Its totient is φ = 782576640.

The previous prime is 2562800249. The next prime is 2562800293. The reversal of 2562800256 is 6520082652.

2562800256 is a `hidden beast` number, since 2 + 5 + 628 + 0 + 0 + 25 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2562800256.

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 31 ways as a sum of consecutive naturals, for example, 2034955 + ... + 2036213.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 2^2562800256 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 2562800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640000).

2562800256 is an abundant number, since it is smaller than the sum of its proper divisors (5662479744).

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

2562800256 is a wasteful number, since it uses less digits than its factorization.

2562800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2562800256 is about 50624.1074587987. The cubic root of 2562800256 is about 1368.4793641690.

The spelling of 2562800256 in words is "two billion, five hundred sixty-two million, eight hundred thousand, two hundred fifty-six".