2561529484800 has 2160 divisors, whose sum is σ = 11255220744768. Its totient is φ = 571915468800.

The previous prime is 2561529484793. The next prime is 2561529484817. The reversal of 2561529484800 is 84849251652.

2561529484800 is a `hidden beast` number, since 2 + 5 + 6 + 152 + 9 + 4 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2561529484800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5782233379 + ... + 5782233821.

Almost surely, 2^{2561529484800} is an apocalyptic number.

2561529484800 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 2561529484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627610372384).

2561529484800 is an abundant number, since it is smaller than the sum of its proper divisors (8693691259968).

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

2561529484800 is a wasteful number, since it uses less digits than its factorization.

2561529484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2561529484800 in words is "two trillion, five hundred sixty-one billion, five hundred twenty-nine million, four hundred eighty-four thousand, eight hundred".