2561707070766 has 64 divisors (see below), whose sum is σ = 5749591196160. Its totient is φ = 845406792000.

The previous prime is 2561707070761. The next prime is 2561707070773. The reversal of 2561707070766 is 6670707071652.

2561707070766 is a `hidden beast` number, since 2 + 561 + 7 + 0 + 7 + 0 + 7 + 0 + 76 + 6 = 666.

2561707070766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561707070761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697650 + ... + 2829386.

It is an arithmetic number, because the mean of its divisors is an integer number (89837362440).

Almost surely, 2^{2561707070766} is an apocalyptic number.

2561707070766 is an abundant number, since it is smaller than the sum of its proper divisors (3187884125394).

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

2561707070766 is a wasteful number, since it uses less digits than its factorization.

2561707070766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132166 (or 1132160 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 2561707070766 in words is "two trillion, five hundred sixty-one billion, seven hundred seven million, seventy thousand, seven hundred sixty-six".