2561400577760 has 48 divisors (see below), whose sum is σ = 6111222852672. Its totient is φ = 1014416064000.

The previous prime is 2561400577709. The next prime is 2561400577763. The reversal of 2561400577760 is 677750041652.

It is a junction number, because it is equal to n+sod(n) for n = 2561400577699 and 2561400577708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561400577763) 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, 79235096 + ... + 79267415.

It is an arithmetic number, because the mean of its divisors is an integer number (127317142764).

Almost surely, 2^{2561400577760} is an apocalyptic number.

2561400577760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561400577760 is an abundant number, since it is smaller than the sum of its proper divisors (3549822274912).

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

2561400577760 is a wasteful number, since it uses less digits than its factorization.

2561400577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158502627 (or 158502619 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 2561400577760 in words is "two trillion, five hundred sixty-one billion, four hundred million, five hundred seventy-seven thousand, seven hundred sixty".