2508890520 has 32 divisors (see below), whose sum is σ = 7526671920. Its totient is φ = 669037440.

The previous prime is 2508890507. The next prime is 2508890539. The reversal of 2508890520 is 250988052.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10453591 + ... + 10453830.

Almost surely, 2^2508890520 is an apocalyptic number.

2508890520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2508890520 is an abundant number, since it is smaller than the sum of its proper divisors (5017781400).

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

2508890520 is a wasteful number, since it uses less digits than its factorization.

2508890520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907435 (or 20907431 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 2508890520 is about 50088.8262988863. The cubic root of 2508890520 is about 1358.8157438750.

The spelling of 2508890520 in words is "two billion, five hundred eight million, eight hundred ninety thousand, five hundred twenty".