2506202688 has 224 divisors, whose sum is σ = 7560990720. Its totient is φ = 725760000.

The previous prime is 2506202687. The next prime is 2506202693. The reversal of 2506202688 is 8862026052.

It is not an unprimeable number, because it can be changed into a prime (2506202687) 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 31 ways as a sum of consecutive naturals, for example, 6612483 + ... + 6612861.

Almost surely, 2^2506202688 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 2506202688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780495360).

2506202688 is an abundant number, since it is smaller than the sum of its proper divisors (5054788032).

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

2506202688 is a wasteful number, since it uses less digits than its factorization.

2506202688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2506202688 is about 50061.9884543153. The cubic root of 2506202688 is about 1358.3303269893.

The spelling of 2506202688 in words is "two billion, five hundred six million, two hundred two thousand, six hundred eighty-eight".