2561796880200 has 432 divisors, whose sum is σ = 8913397184640. Its totient is φ = 659084025600.

The previous prime is 2561796880183. The next prime is 2561796880241. The reversal of 2561796880200 is 20886971652.

2561796880200 is a `hidden beast` number, since 2 + 561 + 79 + 6 + 8 + 8 + 0 + 2 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 426465597 + ... + 426471603.

Almost surely, 2^{2561796880200} is an apocalyptic number.

2561796880200 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 2561796880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456698592320).

2561796880200 is an abundant number, since it is smaller than the sum of its proper divisors (6351600304440).

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

2561796880200 is a wasteful number, since it uses less digits than its factorization.

2561796880200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2561796880200 in words is "two trillion, five hundred sixty-one billion, seven hundred ninety-six million, eight hundred eighty thousand, two hundred".