2588080 has 80 divisors (see below), whose sum is σ = 6990624. Its totient is φ = 880640.

The previous prime is 2588077. The next prime is 2588087. The reversal of 2588080 is 808852.

2588080 = 39² + 40² + ... + 198².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14874 + ... + 15046.

2^2588080 is an apocalyptic number.

2588080 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 2588080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495312).

2588080 is an abundant number, since it is smaller than the sum of its proper divisors (4402544).

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

2588080 is a wasteful number, since it uses less digits than its factorization.

2588080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 2588080 is about 1608.7510683757. The cubic root of 2588080 is about 137.2964260225.

It can be divided in two parts, 258 and 8080, that added together give a palindrome (8338).

The spelling of 2588080 in words is "two million, five hundred eighty-eight thousand, eighty".