2505080760 has 128 divisors (see below), whose sum is σ = 9249569280. Its totient is φ = 528542208.

The previous prime is 2505080741. The next prime is 2505080861. The reversal of 2505080760 is 670805052.

It is a happy number.

It is a super-2 number, since 2×2505080760² = 12550859228244355200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103782 + ... + 125621.

It is an arithmetic number, because the mean of its divisors is an integer number (72262260).

Almost surely, 2^2505080760 is an apocalyptic number.

2505080760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505080760 is an abundant number, since it is smaller than the sum of its proper divisors (6744488520).

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

2505080760 is a wasteful number, since it uses less digits than its factorization.

2505080760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229437 (or 229433 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2505080760 is about 50050.7818120756. The cubic root of 2505080760 is about 1358.1276064492.

The spelling of 2505080760 in words is "two billion, five hundred five million, eighty thousand, seven hundred sixty".