2506005880 has 64 divisors (see below), whose sum is σ = 6448559040. Its totient is φ = 858596352.

The previous prime is 2506005833. The next prime is 2506005881. The reversal of 2506005880 is 885006052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506005881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600762 + ... + 604918.

It is an arithmetic number, because the mean of its divisors is an integer number (100758735).

Almost surely, 2^2506005880 is an apocalyptic number.

2506005880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506005880 is an abundant number, since it is smaller than the sum of its proper divisors (3942553160).

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

2506005880 is a wasteful number, since it uses less digits than its factorization.

2506005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2506005880 is about 50060.0227726676. The cubic root of 2506005880 is about 1358.2947702385.

The spelling of 2506005880 in words is "two billion, five hundred six million, five thousand, eight hundred eighty".