2561193902960 has 720 divisors, whose sum is σ = 8204561541120. Its totient is φ = 726926745600.

The previous prime is 2561193902941. The next prime is 2561193902987. The reversal of 2561193902960 is 692093911652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 607059731 + ... + 607063949.

Almost surely, 2^{2561193902960} is an apocalyptic number.

2561193902960 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 2561193902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102280770560).

2561193902960 is an abundant number, since it is smaller than the sum of its proper divisors (5643367638160).

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

2561193902960 is a wasteful number, since it uses less digits than its factorization.

2561193902960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 53.

The spelling of 2561193902960 in words is "two trillion, five hundred sixty-one billion, one hundred ninety-three million, nine hundred two thousand, nine hundred sixty".