2506502988 has 192 divisors, whose sum is σ = 7354368000. Its totient is φ = 731566080.

The previous prime is 2506502987. The next prime is 2506503007. The reversal of 2506502988 is 8892056052.

2506502988 is a `hidden beast` number, since 2 + 50 + 6 + 502 + 98 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2506502987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5582188 + ... + 5582636.

It is an arithmetic number, because the mean of its divisors is an integer number (38304000).

Almost surely, 2^2506502988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506502988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2506502988 is an abundant number, since it is smaller than the sum of its proper divisors (4847865012).

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

2506502988 is a wasteful number, since it uses less digits than its factorization.

2506502988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2506502988 is about 50064.9876460586. The cubic root of 2506502988 is about 1358.3845777632.

The spelling of 2506502988 in words is "two billion, five hundred six million, five hundred two thousand, nine hundred eighty-eight".