2506080288 has 24 divisors (see below), whose sum is σ = 6578461008. Its totient is φ = 835360064.

The previous prime is 2506080257. The next prime is 2506080289. The reversal of 2506080288 is 8820806052.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2506080289) 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 3 ways as a sum of consecutive naturals, for example, 13052406 + ... + 13052597.

It is an arithmetic number, because the mean of its divisors is an integer number (274102542).

Almost surely, 2^2506080288 is an apocalyptic number.

It is an amenable number.

2506080288 is an abundant number, since it is smaller than the sum of its proper divisors (4072380720).

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

2506080288 is a wasteful number, since it uses less digits than its factorization.

2506080288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26105016 (or 26105008 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2506080288 is about 50060.7659549871. The cubic root of 2506080288 is about 1358.3082135426.

The spelling of 2506080288 in words is "two billion, five hundred six million, eighty thousand, two hundred eighty-eight".