2681972854929 has 27 divisors (see below), whose sum is σ = 3921793646043. Its totient is φ = 1766171374272.

The previous prime is 2681972854927. The next prime is 2681972854933. The reversal of 2681972854929 is 9294582791862.

The square root of 2681972854929 is 1637673.

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

2681972854929 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 9 + 72 + 8 + 549 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2655938387025 + 26034467904 = 1629705^2 + 161352^2 .

It is not a de Polignac number, because 2681972854929 - 2¹ = 2681972854927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2681972854927) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 407777289 + ... + 407783865.

Almost surely, 2^{2681972854929} is an apocalyptic number.

2681972854929 is the 1637673-rd square number.

2681972854929 is the 818837-th centered octagonal number.

It is an amenable number.

2681972854929 is a deficient number, since it is larger than the sum of its proper divisors (1239820791114).

2681972854929 is an frugal number, since it uses more digits than its factorization.

2681972854929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 6663 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 2681972854929 in words is "two trillion, six hundred eighty-one billion, nine hundred seventy-two million, eight hundred fifty-four thousand, nine hundred twenty-nine".