2552584 has 24 divisors (see below), whose sum is σ = 5104890. Its totient is φ = 1192448.

The previous prime is 2552581. The next prime is 2552587. The reversal of 2552584 is 4852552.

It is an interprime number because it is at equal distance from previous prime (2552581) and next prime (2552587).

It can be written as a sum of positive squares in 3 ways, for example, as 2490084 + 62500 = 1578^2 + 250^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18564 + ... + 18700.

2^2552584 is an apocalyptic number.

It is an amenable number.

2552584 is a deficient number, since it is larger than the sum of its proper divisors (2552306).

2552584 is a wasteful number, since it uses less digits than its factorization.

2552584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 156 counting only the distinct ones).

The product of its digits is 16000, while the sum is 31.

The square root of 2552584 is about 1597.6808191876. The cubic root of 2552584 is about 136.6658523317.

Subtracting 2552584 from its reverse (4852552), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 2552 and 584, that added together give a square (3136 = 56²).

The spelling of 2552584 in words is "two million, five hundred fifty-two thousand, five hundred eighty-four".