2564256 has 24 divisors (see below), whose sum is σ = 6731424. Its totient is φ = 854720.

The previous prime is 2564251. The next prime is 2564279. The reversal of 2564256 is 6524652.

It is a tau number, because it is divible by the number of its divisors (24).

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 d-powerful number, because it can be written as 2¹¹ + 5⁷ + 6 + 4⁹ + 2²¹ + 5⁷ + 6⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13260 + ... + 13451.

It is an arithmetic number, because the mean of its divisors is an integer number (280476).

2^2564256 is an apocalyptic number.

It is an amenable number.

2564256 is an abundant number, since it is smaller than the sum of its proper divisors (4167168).

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

2564256 is a wasteful number, since it uses less digits than its factorization.

2564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26724 (or 26716 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2564256 is about 1601.3294476778. The cubic root of 2564256 is about 136.8738426957.

The spelling of 2564256 in words is "two million, five hundred sixty-four thousand, two hundred fifty-six".