2565004560 has 80 divisors (see below), whose sum is σ = 8370029760. Its totient is φ = 648000000.

The previous prime is 2565004553. The next prime is 2565004583. The reversal of 2565004560 is 654005652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276691 + ... + 285810.

It is an arithmetic number, because the mean of its divisors is an integer number (104625372).

Almost surely, 2^2565004560 is an apocalyptic number.

2565004560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565004560 is an abundant number, since it is smaller than the sum of its proper divisors (5805025200).

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

2565004560 is a wasteful number, since it uses less digits than its factorization.

2565004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562536 (or 562530 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2565004560 is about 50645.8740668971. The cubic root of 2565004560 is about 1368.8716017983.

It can be divided in two parts, 256500 and 4560, that multiplied together give a square (1169640000 = 34200²).

The spelling of 2565004560 in words is "two billion, five hundred sixty-five million, four thousand, five hundred sixty".