2505456460 has 48 divisors (see below), whose sum is σ = 5721258816. Its totient is φ = 916100352.

The previous prime is 2505456427. The next prime is 2505456497. The reversal of 2505456460 is 646545052.

2505456460 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, 19999 + ... + 73558.

It is an arithmetic number, because the mean of its divisors is an integer number (119192892).

Almost surely, 2^2505456460 is an apocalyptic number.

2505456460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505456460 is an abundant number, since it is smaller than the sum of its proper divisors (3215802356).

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

2505456460 is a wasteful number, since it uses less digits than its factorization.

2505456460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93682 (or 93680 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 2505456460 is about 50054.5348594910. The cubic root of 2505456460 is about 1358.1954982106.

The spelling of 2505456460 in words is "two billion, five hundred five million, four hundred fifty-six thousand, four hundred sixty".