2523264 has 32 divisors (see below), whose sum is σ = 6703440. Its totient is φ = 840960.

The previous prime is 2523251. The next prime is 2523317. The reversal of 2523264 is 4623252.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2523264² = 12733722427392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2902 + ... + 3669.

2^2523264 is an apocalyptic number.

2523264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2523264 is an abundant number, since it is smaller than the sum of its proper divisors (4180176).

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

2523264 is an equidigital number, since it uses as much as digits as its factorization.

2523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6576 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 2523264 is about 1588.4785173240. The cubic root of 2523264 is about 136.1405697664.

The spelling of 2523264 in words is "two million, five hundred twenty-three thousand, two hundred sixty-four".