2561829512256 has 672 divisors, whose sum is σ = 9266939251200. Its totient is φ = 690049704960.

The previous prime is 2561829512197. The next prime is 2561829512311. The reversal of 2561829512256 is 6522159281652.

It is a happy number.

2561829512256 is a `hidden beast` number, since 2 + 5 + 618 + 2 + 9 + 5 + 12 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339446275 + ... + 339453821.

Almost surely, 2^{2561829512256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561829512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633469625600).

2561829512256 is an abundant number, since it is smaller than the sum of its proper divisors (6705109738944).

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

2561829512256 is a wasteful number, since it uses less digits than its factorization.

2561829512256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7789 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 2561829512256 in words is "two trillion, five hundred sixty-one billion, eight hundred twenty-nine million, five hundred twelve thousand, two hundred fifty-six".