2505697760 has 48 divisors (see below), whose sum is σ = 6110681472. Its totient is φ = 969945600.

The previous prime is 2505697709. The next prime is 2505697769. The reversal of 2505697760 is 677965052.

2505697760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505697769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247631 + ... + 257550.

It is an arithmetic number, because the mean of its divisors is an integer number (127305864).

Almost surely, 2^2505697760 is an apocalyptic number.

2505697760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505697760 is an abundant number, since it is smaller than the sum of its proper divisors (3604983712).

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

2505697760 is a wasteful number, since it uses less digits than its factorization.

2505697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505227 (or 505219 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 47.

The square root of 2505697760 is about 50056.9451724733. The cubic root of 2505697760 is about 1358.2390993212.

The spelling of 2505697760 in words is "two billion, five hundred five million, six hundred ninety-seven thousand, seven hundred sixty".