2505906488 has 64 divisors (see below), whose sum is σ = 5205591360. Its totient is φ = 1124868096.

The previous prime is 2505906451. The next prime is 2505906497. The reversal of 2505906488 is 8846095052.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428620 + ... + 1430372.

It is an arithmetic number, because the mean of its divisors is an integer number (81337365).

Almost surely, 2^2505906488 is an apocalyptic number.

It is an amenable number.

2505906488 is an abundant number, since it is smaller than the sum of its proper divisors (2699684872).

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

2505906488 is a wasteful number, since it uses less digits than its factorization.

2505906488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 2505906488 is about 50059.0300345502. The cubic root of 2505906488 is about 1358.2768126565.

The spelling of 2505906488 in words is "two billion, five hundred five million, nine hundred six thousand, four hundred eighty-eight".