2584256 has 28 divisors (see below), whose sum is σ = 5181600. Its totient is φ = 1278720.

The previous prime is 2584249. The next prime is 2584261. The reversal of 2584256 is 6524852.

2584256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9401 + ... + 9671.

2^2584256 is an apocalyptic number.

It is an amenable number.

2584256 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2584256 is a wasteful number, since it uses less digits than its factorization.

2584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

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

The square root of 2584256 is about 1607.5621294370. The cubic root of 2584256 is about 137.2287722242.

The spelling of 2584256 in words is "two million, five hundred eighty-four thousand, two hundred fifty-six".