2588864 has 28 divisors (see below), whose sum is σ = 5410200. Its totient is φ = 1225728.

The previous prime is 2588827. The next prime is 2588869. The reversal of 2588864 is 4688852.

2588864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2588869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 2280.

2^2588864 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 2588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705100).

2588864 is an abundant number, since it is smaller than the sum of its proper divisors (2821336).

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

2588864 is a wasteful number, since it uses less digits than its factorization.

2588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2150 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 2588864 is about 1608.9947172070. The cubic root of 2588864 is about 137.3102882332.

It can be divided in two parts, 25888 and 64, that added together give a palindrome (25952).

The spelling of 2588864 in words is "two million, five hundred eighty-eight thousand, eight hundred sixty-four".