2684177135993 has 2 divisors, whose sum is σ = 2684177135994. Its totient is φ = 2684177135992.

The previous prime is 2684177135921. The next prime is 2684177136001. The reversal of 2684177135993 is 3995317714862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2072194798144 + 611982337849 = 1439512^2 + 782293^2 .

It is a cyclic number.

It is not a de Polignac number, because 2684177135993 - 2³⁶ = 2615457659257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2684177135093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1342088567996 + 1342088567997.

It is an arithmetic number, because the mean of its divisors is an integer number (1342088567997).

Almost surely, 2^{2684177135993} is an apocalyptic number.

It is an amenable number.

2684177135993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2684177135993 is an equidigital number, since it uses as much as digits as its factorization.

2684177135993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 68584320, while the sum is 65.

The spelling of 2684177135993 in words is "two trillion, six hundred eighty-four billion, one hundred seventy-seven million, one hundred thirty-five thousand, nine hundred ninety-three".