2565456 has 80 divisors (see below), whose sum is σ = 7291200. Its totient is φ = 774144.

The previous prime is 2565449. The next prime is 2565461. The reversal of 2565456 is 6545652.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (36000) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

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, 26400 + ... + 26496.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

2^2565456 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 2565456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645600).

2565456 is an abundant number, since it is smaller than the sum of its proper divisors (4725744).

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

2565456 is a wasteful number, since it uses less digits than its factorization.

2565456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

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

The square root of 2565456 is about 1601.7040925215. The cubic root of 2565456 is about 136.8951904079.

The spelling of 2565456 in words is "two million, five hundred sixty-five thousand, four hundred fifty-six".