2565082584 has 48 divisors (see below), whose sum is σ = 7064857800. Its totient is φ = 840534144.

The previous prime is 2565082561. The next prime is 2565082601. The reversal of 2565082584 is 4852805652.

It is a happy number.

2565082584 is a `hidden beast` number, since 2 + 5 + 65 + 0 + 8 + 2 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297669 + ... + 306164.

Almost surely, 2^2565082584 is an apocalyptic number.

2565082584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2565082584 is an abundant number, since it is smaller than the sum of its proper divisors (4499775216).

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

2565082584 is a wasteful number, since it uses less digits than its factorization.

2565082584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603904 (or 603897 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 2565082584 is about 50646.6443508353. The cubic root of 2565082584 is about 1368.8854814039.

The spelling of 2565082584 in words is "two billion, five hundred sixty-five million, eighty-two thousand, five hundred eighty-four".