2588880 has 160 divisors (see below), whose sum is σ = 9713664. Its totient is φ = 557568.

The previous prime is 2588869. The next prime is 2588893. The reversal of 2588880 is 888852.

It is a Cunningham number, because it is equal to 1609²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38607 + ... + 38673.

2^2588880 is an apocalyptic number.

2588880 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 2588880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856832).

2588880 is an abundant number, since it is smaller than the sum of its proper divisors (7124784).

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

2588880 is a wasteful number, since it uses less digits than its factorization.

2588880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 2588880 is about 1608.9996892480. Note that the first 3 decimals coincide. The cubic root of 2588880 is about 137.3105711063.

The spelling of 2588880 in words is "two million, five hundred eighty-eight thousand, eight hundred eighty".