2506305975260 has 24 divisors (see below), whose sum is σ = 5263416097296. Its totient is φ = 1002489333120.

The previous prime is 2506305975259. The next prime is 2506305975269. The reversal of 2506305975260 is 625795036052.

It is a junction number, because it is equal to n+sod(n) for n = 2506305975199 and 2506305975208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506305975269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439726 + ... + 2661845.

It is an arithmetic number, because the mean of its divisors is an integer number (219309004054).

Almost surely, 2^{2506305975260} is an apocalyptic number.

2506305975260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506305975260 is an abundant number, since it is smaller than the sum of its proper divisors (2757110122036).

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

2506305975260 is a wasteful number, since it uses less digits than its factorization.

2506305975260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132133 (or 4132131 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 2506305975260 in words is "two trillion, five hundred six billion, three hundred five million, nine hundred seventy-five thousand, two hundred sixty".