2680793859969 has 27 divisors (see below), whose sum is σ = 3895288938723. Its totient is φ = 1776628688544.

The previous prime is 2680793859949. The next prime is 2680793860001. The reversal of 2680793859969 is 9699583970862.

The square root of 2680793859969 is 1637313.

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

2680793859969 is a `hidden beast` number, since 2 + 6 + 80 + 79 + 385 + 9 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288946026369 + 2391847833600 = 537537^2 + 1546560^2 .

It is not a de Polignac number, because 2680793859969 - 2⁵ = 2680793859937 is a prime.

It is a super-2 number, since 2×2680793859969² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2680793859949) 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, 879235557 + ... + 879238605.

Almost surely, 2^{2680793859969} is an apocalyptic number.

2680793859969 is the 1637313-rd square number.

2680793859969 is the 818657-th centered octagonal number.

It is an amenable number.

2680793859969 is a deficient number, since it is larger than the sum of its proper divisors (1214495078754).

2680793859969 is an frugal number, since it uses more digits than its factorization.

2680793859969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

Multiplying 2680793859969 by its sum of digits (81), we get a square (217144302657489 = 14735817²).

The spelling of 2680793859969 in words is "two trillion, six hundred eighty billion, seven hundred ninety-three million, eight hundred fifty-nine thousand, nine hundred sixty-nine".