2561471586684 has 144 divisors (see below), whose sum is σ = 6871999680000. Its totient is φ = 802219904640.

The previous prime is 2561471586679. The next prime is 2561471586749. The reversal of 2561471586684 is 4866851741652.

2561471586684 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 47 + 1 + 586 + 6 + 8 + 4 = 666.

It is a super-2 number, since 2×2561471586684² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301822 + ... + 42362330.

It is an arithmetic number, because the mean of its divisors is an integer number (47722220000).

Almost surely, 2^{2561471586684} 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 2561471586684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435999840000).

2561471586684 is an abundant number, since it is smaller than the sum of its proper divisors (4310528093316).

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

2561471586684 is a wasteful number, since it uses less digits than its factorization.

2561471586684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61048 (or 61043 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 2561471586684 in words is "two trillion, five hundred sixty-one billion, four hundred seventy-one million, five hundred eighty-six thousand, six hundred eighty-four".