2561880960000 has 2310 divisors, whose sum is σ = 10728954651140. Its totient is φ = 609140736000.

The previous prime is 2561880959941. The next prime is 2561880960013. The reversal of 2561880960000 is 690881652.

2561880960000 is a `hidden beast` number, since 2 + 561 + 8 + 80 + 9 + 6 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 134835839991 + ... + 134835840009.

Almost surely, 2^{2561880960000} is an apocalyptic number.

2561880960000 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 2561880960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364477325570).

2561880960000 is an abundant number, since it is smaller than the sum of its proper divisors (8167073691140).

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

2561880960000 is an frugal number, since it uses more digits than its factorization.

2561880960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2561880960000 in words is "two trillion, five hundred sixty-one billion, eight hundred eighty million, nine hundred sixty thousand".