2588112 has 50 divisors (see below), whose sum is σ = 7494498. Its totient is φ = 862272.

The previous prime is 2588107. The next prime is 2588129. The reversal of 2588112 is 2118852.

2588112 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 only one way, i.e., 1498176 + 1089936 = 1224^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 298 + ... + 2294.

2^2588112 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 2588112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747249).

2588112 is an abundant number, since it is smaller than the sum of its proper divisors (4906386).

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

2588112 is a wasteful number, since it uses less digits than its factorization.

2588112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2002 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 2588112 is about 1608.7610139483. The cubic root of 2588112 is about 137.2969918818.

The spelling of 2588112 in words is "two million, five hundred eighty-eight thousand, one hundred twelve".