2692678637313 has 128 divisors (see below), whose sum is σ = 4789826764800. Its totient is φ = 1461729494016.

The previous prime is 2692678637309. The next prime is 2692678637321. The reversal of 2692678637313 is 3137368762962.

2692678637313 is a `hidden beast` number, since 26 + 9 + 267 + 8 + 6 + 37 + 313 = 666.

It is not a de Polignac number, because 2692678637313 - 2² = 2692678637309 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2692678637353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431032356 + ... + 431038602.

It is an arithmetic number, because the mean of its divisors is an integer number (37420521600).

Almost surely, 2^{2692678637313} is an apocalyptic number.

2692678637313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2692678637313 is a deficient number, since it is larger than the sum of its proper divisors (2097148127487).

2692678637313 is a wasteful number, since it uses less digits than its factorization.

2692678637313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6942 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 2692678637313 in words is "two trillion, six hundred ninety-two billion, six hundred seventy-eight million, six hundred thirty-seven thousand, three hundred thirteen".