2561551502592 has 144 divisors (see below), whose sum is σ = 7105711628288. Its totient is φ = 818283755520.

The previous prime is 2561551502537. The next prime is 2561551502599. The reversal of 2561551502592 is 2952051551652.

It is a super-2 number, since 2×2561551502592² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561551502599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929933 + ... + 2974515.

Almost surely, 2^{2561551502592} 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 2561551502592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552855814144).

2561551502592 is an abundant number, since it is smaller than the sum of its proper divisors (4544160125696).

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

2561551502592 is a wasteful number, since it uses less digits than its factorization.

2561551502592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044736 (or 1044722 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 48.

The spelling of 2561551502592 in words is "two trillion, five hundred sixty-one billion, five hundred fifty-one million, five hundred two thousand, five hundred ninety-two".