2565504 has 96 divisors (see below), whose sum is σ = 7876440. Its totient is φ = 798720.

The previous prime is 2565463. The next prime is 2565559. The reversal of 2565504 is 4055652.

2565504 is a `hidden beast` number, since 2 + 5 + 655 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19519 + ... + 19649.

2^2565504 is an apocalyptic number.

2565504 is a gapful number since it is divisible by the number (24) 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 2565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938220).

2565504 is an abundant number, since it is smaller than the sum of its proper divisors (5310936).

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

2565504 is a wasteful number, since it uses less digits than its factorization.

2565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2565504 is about 1601.7190764925. The cubic root of 2565504 is about 136.8960441779.

The spelling of 2565504 in words is "two million, five hundred sixty-five thousand, five hundred four".