2505243606160 has 80 divisors (see below), whose sum is σ = 6176008281600. Its totient is φ = 942425791488.

The previous prime is 2505243606101. The next prime is 2505243606163. The reversal of 2505243606160 is 616063425052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2505243606160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2505243606163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5807040 + ... + 6223519.

It is an arithmetic number, because the mean of its divisors is an integer number (77200103520).

Almost surely, 2^{2505243606160} is an apocalyptic number.

2505243606160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505243606160 is an abundant number, since it is smaller than the sum of its proper divisors (3670764675440).

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

2505243606160 is a wasteful number, since it uses less digits than its factorization.

2505243606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12030728 (or 12030722 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2505243606160 in words is "two trillion, five hundred five billion, two hundred forty-three million, six hundred six thousand, one hundred sixty".