2252584 has 24 divisors (see below), whose sum is σ = 4379130. Its totient is φ = 1086240.

The previous prime is 2252567. The next prime is 2252587. The reversal of 2252584 is 4852522.

It can be written as a sum of positive squares in only one way, i.e., 1387684 + 864900 = 1178^2 + 930^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2252587) 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, 7542 + ... + 7834.

2^2252584 is an apocalyptic number.

It is an amenable number.

2252584 is a deficient number, since it is larger than the sum of its proper divisors (2126546).

2252584 is a wasteful number, since it uses less digits than its factorization.

2252584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 326 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2252584 is about 1500.8610861769. The cubic root of 2252584 is about 131.0872134511.

It can be divided in two parts, 225 and 2584, that added together give a square (2809 = 53²).

The spelling of 2252584 in words is "two million, two hundred fifty-two thousand, five hundred eighty-four".