2565804 has 48 divisors (see below), whose sum is σ = 6340320. Its totient is φ = 806400.

The previous prime is 2565799. The next prime is 2565809. The reversal of 2565804 is 4085652.

2565804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2565799) and next prime (2565809).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25354 + ... + 25454.

It is an arithmetic number, because the mean of its divisors is an integer number (132090).

2^2565804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170160).

2565804 is an abundant number, since it is smaller than the sum of its proper divisors (3774516).

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

2565804 is a wasteful number, since it uses less digits than its factorization.

2565804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2565804 is about 1601.8127231359. The cubic root of 2565804 is about 136.9013799992.

The spelling of 2565804 in words is "two million, five hundred sixty-five thousand, eight hundred four".