2505405915 has 24 divisors (see below), whose sum is σ = 4345081728. Its totient is φ = 1335484800.

The previous prime is 2505405863. The next prime is 2505405967. The reversal of 2505405915 is 5195045052.

2505405915 is a `hidden beast` number, since 2 + 50 + 540 + 59 + 15 = 666.

It is an interprime number because it is at equal distance from previous prime (2505405863) and next prime (2505405967).

It is not a de Polignac number, because 2505405915 - 2⁹ = 2505405403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2505405915.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73527 + ... + 102063.

It is an arithmetic number, because the mean of its divisors is an integer number (181045072).

Almost surely, 2^2505405915 is an apocalyptic number.

2505405915 is a deficient number, since it is larger than the sum of its proper divisors (1839675813).

2505405915 is a wasteful number, since it uses less digits than its factorization.

2505405915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30499 (or 30496 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 2505405915 is about 50054.0299576368. The cubic root of 2505405915 is about 1358.1863647514.

The spelling of 2505405915 in words is "two billion, five hundred five million, four hundred five thousand, nine hundred fifteen".