2505464032 has 24 divisors (see below), whose sum is σ = 5192245800. Its totient is φ = 1186798464.

The previous prime is 2505463999. The next prime is 2505464053. The reversal of 2505464032 is 2304645052.

It is a junction number, because it is equal to n+sod(n) for n = 2505463985 and 2505464003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2059807 + ... + 2061022.

It is an arithmetic number, because the mean of its divisors is an integer number (216343575).

Almost surely, 2^2505464032 is an apocalyptic number.

It is an amenable number.

2505464032 is an abundant number, since it is smaller than the sum of its proper divisors (2686781768).

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

2505464032 is a wasteful number, since it uses less digits than its factorization.

2505464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120858 (or 4120850 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2505464032 is about 50054.6104969362. The cubic root of 2505464032 is about 1358.1968664571.

The spelling of 2505464032 in words is "two billion, five hundred five million, four hundred sixty-four thousand, thirty-two".