2588640 has 48 divisors (see below), whose sum is σ = 8155728. Its totient is φ = 690176.

The previous prime is 2588629. The next prime is 2588669. The reversal of 2588640 is 468852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 2217 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (169911).

2^2588640 is an apocalyptic number.

2588640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2588640 is an abundant number, since it is smaller than the sum of its proper divisors (5567088).

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

2588640 is a wasteful number, since it uses less digits than its factorization.

2588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2588640 is about 1608.9251070202. The cubic root of 2588640 is about 137.3063278871.

The spelling of 2588640 in words is "two million, five hundred eighty-eight thousand, six hundred forty".