2565082968 has 128 divisors (see below), whose sum is σ = 7505664000. Its totient is φ = 730211328.

The previous prime is 2565082967. The next prime is 2565082987. The reversal of 2565082968 is 8692805652.

It is a self number, because there is not a number n which added to its sum of digits gives 2565082968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565082963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3811080 + ... + 3811752.

It is an arithmetic number, because the mean of its divisors is an integer number (58638000).

Almost surely, 2^2565082968 is an apocalyptic number.

2565082968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565082968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752832000).

2565082968 is an abundant number, since it is smaller than the sum of its proper divisors (4940581032).

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

2565082968 is a wasteful number, since it uses less digits than its factorization.

2565082968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 2565082968 is about 50646.6481418070. The cubic root of 2565082968 is about 1368.8855497125.

The spelling of 2565082968 in words is "two billion, five hundred sixty-five million, eighty-two thousand, nine hundred sixty-eight".