2505641815 has 64 divisors (see below), whose sum is σ = 3483648000. Its totient is φ = 1718046720.

The previous prime is 2505641807. The next prime is 2505641819. The reversal of 2505641815 is 5181465052.

It is not a de Polignac number, because 2505641815 - 2³ = 2505641807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505641819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5230746 + ... + 5231224.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 2^2505641815 is an apocalyptic number.

2505641815 is a deficient number, since it is larger than the sum of its proper divisors (978006185).

2505641815 is a wasteful number, since it uses less digits than its factorization.

2505641815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640.

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 2505641815 is about 50056.3863557888. The cubic root of 2505641815 is about 1358.2289907262.

The spelling of 2505641815 in words is "two billion, five hundred five million, six hundred forty-one thousand, eight hundred fifteen".