2587264 has 64 divisors (see below), whose sum is σ = 5783400. Its totient is φ = 1146880.

The previous prime is 2587253. The next prime is 2587271. The reversal of 2587264 is 4627852.

2587264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1960000 + 627264 = 1400^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63084 + ... + 63124.

2^2587264 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 2587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891700).

2587264 is an abundant number, since it is smaller than the sum of its proper divisors (3196136).

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

2587264 is a wasteful number, since it uses less digits than its factorization.

2587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 2587264 is about 1608.4974354969. The cubic root of 2587264 is about 137.2819950337.

The spelling of 2587264 in words is "two million, five hundred eighty-seven thousand, two hundred sixty-four".