2565756 has 30 divisors (see below), whose sum is σ = 6708240. Its totient is φ = 855144.

The previous prime is 2565713. The next prime is 2565757. The reversal of 2565756 is 6575652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁹ + 5 + 6² + 5⁷ + 7⁴ + 5⁹ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 2565756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565757) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3636 + ... + 4283.

It is an arithmetic number, because the mean of its divisors is an integer number (223608).

2^2565756 is an apocalyptic number.

It is an amenable number.

2565756 is an abundant number, since it is smaller than the sum of its proper divisors (4142484).

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

2565756 is a wasteful number, since it uses less digits than its factorization.

2565756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7924 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 2565756 is about 1601.7977400409. The cubic root of 2565756 is about 136.9005262957.

It can be divided in two parts, 2565 and 756, that added together give a triangular number (3321 = T₈₁).

The spelling of 2565756 in words is "two million, five hundred sixty-five thousand, seven hundred fifty-six".