2588720 has 20 divisors (see below), whose sum is σ = 6018960. Its totient is φ = 1035456.

The previous prime is 2588711. The next prime is 2588723. The reversal of 2588720 is 278852.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2588723) 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, 16100 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (300948).

2^2588720 is an apocalyptic number.

2588720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2588720 is an abundant number, since it is smaller than the sum of its proper divisors (3430240).

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

2588720 is a wasteful number, since it uses less digits than its factorization.

2588720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32372 (or 32366 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 2588720 is about 1608.9499681469. The cubic root of 2588720 is about 137.3077423227.

The spelling of 2588720 in words is "two million, five hundred eighty-eight thousand, seven hundred twenty".