2561112334000 has 480 divisors, whose sum is σ = 7176437678592. Its totient is φ = 876559680000.

The previous prime is 2561112333959. The next prime is 2561112334007. The reversal of 2561112334000 is 4332111652.

It is a self number, because there is not a number n which added to its sum of digits gives 2561112334000.

It is not an unprimeable number, because it can be changed into a prime (2561112334007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326313035 + ... + 1326314965.

Almost surely, 2^{2561112334000} is an apocalyptic number.

2561112334000 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 2561112334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588218839296).

2561112334000 is an abundant number, since it is smaller than the sum of its proper divisors (4615325344592).

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

2561112334000 is a wasteful number, since it uses less digits than its factorization.

2561112334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 2561112334000 its reverse (4332111652), we get a palindrome (2565444445652).

The spelling of 2561112334000 in words is "two trillion, five hundred sixty-one billion, one hundred twelve million, three hundred thirty-four thousand".