2502864 has 120 divisors (see below), whose sum is σ = 8666112. Its totient is φ = 656640.

The previous prime is 2502833. The next prime is 2502917. The reversal of 2502864 is 4682052.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13009 + ... + 13199.

2^2502864 is an apocalyptic number.

2502864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056).

2502864 is an abundant number, since it is smaller than the sum of its proper divisors (6163248).

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

2502864 is a wasteful number, since it uses less digits than its factorization.

2502864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2502864 is about 1582.0442471688. The cubic root of 2502864 is about 135.7726883316.

The spelling of 2502864 in words is "two million, five hundred two thousand, eight hundred sixty-four".