2588840 has 32 divisors (see below), whose sum is σ = 5925960. Its totient is φ = 1017600.

The previous prime is 2588827. The next prime is 2588869. The reversal of 2588840 is 488852.

It can be written as a sum of positive squares in 4 ways, for example, as 1552516 + 1036324 = 1246^2 + 1018^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2588840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1910 + ... + 2970.

2^2588840 is an apocalyptic number.

2588840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962980).

2588840 is an abundant number, since it is smaller than the sum of its proper divisors (3337120).

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

2588840 is a wasteful number, since it uses less digits than its factorization.

2588840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 2588840 is about 1608.9872591167. The cubic root of 2588840 is about 137.3098639213.

The spelling of 2588840 in words is "two million, five hundred eighty-eight thousand, eight hundred forty".