2561907997152 has 864 divisors, whose sum is σ = 9499131532800. Its totient is φ = 663132552192.

The previous prime is 2561907997139. The next prime is 2561907997153. The reversal of 2561907997152 is 2517997091652.

2561907997152 is a `hidden beast` number, since 2 + 5 + 619 + 0 + 7 + 9 + 9 + 7 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2561907997152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2561907997152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561907997153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642241174 + ... + 642245162.

It is an arithmetic number, because the mean of its divisors is an integer number (10994365200).

Almost surely, 2^{2561907997152} 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 2561907997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749565766400).

2561907997152 is an abundant number, since it is smaller than the sum of its proper divisors (6937223535648).

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

2561907997152 is an equidigital number, since it uses as much as digits as its factorization.

2561907997152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 2561907997152 in words is "two trillion, five hundred sixty-one billion, nine hundred seven million, nine hundred ninety-seven thousand, one hundred fifty-two".