2567874846681 has 45 divisors (see below), whose sum is σ = 3856298196751. Its totient is φ = 1702888310448.

The previous prime is 2567874846679. The next prime is 2567874846709. The reversal of 2567874846681 is 1866484787652.

The square root of 2567874846681 is 1602459.

It is a perfect power (a square), and thus also a powerful number.

2567874846681 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 8 + 7 + 484 + 66 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2552725175625 + 15149671056 = 1597725^2 + 123084^2 .

It is not a de Polignac number, because 2567874846681 - 2¹ = 2567874846679 is a prime.

It is a super-2 number, since 2×2567874846681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2567874842681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3793020115 + ... + 3793020791.

Almost surely, 2^{2567874846681} is an apocalyptic number.

2567874846681 is the 1602459-th square number.

2567874846681 is the 801230-th centered octagonal number.

It is an amenable number.

2567874846681 is a deficient number, since it is larger than the sum of its proper divisors (1288423350070).

2567874846681 is an frugal number, since it uses more digits than its factorization.

2567874846681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 943 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 2567874846681 in words is "two trillion, five hundred sixty-seven billion, eight hundred seventy-four million, eight hundred forty-six thousand, six hundred eighty-one".