2588144 has 40 divisors (see below), whose sum is σ = 5645472. Its totient is φ = 1140480.

The previous prime is 2588141. The next prime is 2588177. The reversal of 2588144 is 4418852.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2588144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4514 + ... + 5054.

2^2588144 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 2588144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822736).

2588144 is an abundant number, since it is smaller than the sum of its proper divisors (3057328).

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

2588144 is a wasteful number, since it uses less digits than its factorization.

2588144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its digits is 10240, while the sum is 32.

The square root of 2588144 is about 1608.7709594594. The cubic root of 2588144 is about 137.2975577364.

The spelling of 2588144 in words is "two million, five hundred eighty-eight thousand, one hundred forty-four".