2561274795600 has 720 divisors, whose sum is σ = 9319987482624. Its totient is φ = 650612736000.

The previous prime is 2561274795517. The next prime is 2561274795613. The reversal of 2561274795600 is 65974721652.

It is a happy number.

2561274795600 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 2 + 7 + 4 + 79 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2414019070 + ... + 2414020130.

Almost surely, 2^{2561274795600} is an apocalyptic number.

2561274795600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561274795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659993741312).

2561274795600 is an abundant number, since it is smaller than the sum of its proper divisors (6758712687024).

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

2561274795600 is a wasteful number, since it uses less digits than its factorization.

2561274795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 2561274795600 in words is "two trillion, five hundred sixty-one billion, two hundred seventy-four million, seven hundred ninety-five thousand, six hundred".