2505566760 has 64 divisors (see below), whose sum is σ = 7958865600. Its totient is φ = 628847616.

The previous prime is 2505566729. The next prime is 2505566779. The reversal of 2505566760 is 676655052.

It is a happy number.

2505566760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 612070 + ... + 616149.

It is an arithmetic number, because the mean of its divisors is an integer number (124357275).

Almost surely, 2^2505566760 is an apocalyptic number.

2505566760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505566760 is an abundant number, since it is smaller than the sum of its proper divisors (5453298840).

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

2505566760 is a wasteful number, since it uses less digits than its factorization.

2505566760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228250 (or 1228246 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 2505566760 is about 50055.6366456366. The cubic root of 2505566760 is about 1358.2154289454.

The spelling of 2505566760 in words is "two billion, five hundred five million, five hundred sixty-six thousand, seven hundred sixty".