2565802656 has 120 divisors (see below), whose sum is σ = 7989971220. Its totient is φ = 804943872.

The previous prime is 2565802649. The next prime is 2565802727. The reversal of 2565802656 is 6562085652.

2565802656 is a `hidden beast` number, since 2 + 5 + 6 + 580 + 2 + 65 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2428912656 + 136890000 = 49284^2 + 11700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14950 + ... + 73178.

Almost surely, 2^2565802656 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 2565802656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994985610).

2565802656 is an abundant number, since it is smaller than the sum of its proper divisors (5424168564).

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

2565802656 is a wasteful number, since it uses less digits than its factorization.

2565802656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58268 (or 58251 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2565802656 is about 50653.7526349233. The cubic root of 2565802656 is about 1369.0135609560.

The spelling of 2565802656 in words is "two billion, five hundred sixty-five million, eight hundred two thousand, six hundred fifty-six".