2565264 has 40 divisors (see below), whose sum is σ = 7138432. Its totient is φ = 789120.

The previous prime is 2565263. The next prime is 2565289. The reversal of 2565264 is 4625652.

It is not an unprimeable number, because it can be changed into a prime (2565263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432 + ... + 2679.

2^2565264 is an apocalyptic number.

2565264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2565264 is an abundant number, since it is smaller than the sum of its proper divisors (4573168).

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

2565264 is a wasteful number, since it uses less digits than its factorization.

2565264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4129 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2565264 is about 1601.6441552355. The cubic root of 2565264 is about 136.8917752213.

The spelling of 2565264 in words is "two million, five hundred sixty-five thousand, two hundred sixty-four".