2507990688 has 480 divisors, whose sum is σ = 9168090624. Its totient is φ = 656252928.

The previous prime is 2507990663. The next prime is 2507990711. The reversal of 2507990688 is 8860997052.

It is a happy number.

2507990688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14496970 + ... + 14497142.

Almost surely, 2^2507990688 is an apocalyptic number.

2507990688 is a gapful number since it is divisible by the number (28) 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 2507990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584045312).

2507990688 is an abundant number, since it is smaller than the sum of its proper divisors (6660099936).

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

2507990688 is a wasteful number, since it uses less digits than its factorization.

2507990688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2507990688 is about 50079.8431307447. The cubic root of 2507990688 is about 1358.6532747032.

The spelling of 2507990688 in words is "two billion, five hundred seven million, nine hundred ninety thousand, six hundred eighty-eight".