2565824 has 28 divisors (see below), whose sum is σ = 5205984. Its totient is φ = 1254144.

The previous prime is 2565809. The next prime is 2565847. The reversal of 2565824 is 4285652.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2582 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (185928).

2^2565824 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 2565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602992).

2565824 is an abundant number, since it is smaller than the sum of its proper divisors (2640160).

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

2565824 is an equidigital number, since it uses as much as digits as its factorization.

2565824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2565824 is about 1601.8189660508. The cubic root of 2565824 is about 136.9017357058.

The spelling of 2565824 in words is "two million, five hundred sixty-five thousand, eight hundred twenty-four".