2701117118680 has 64 divisors (see below), whose sum is σ = 6361922580480. Its totient is φ = 1030867017600.

The previous prime is 2701117118657. The next prime is 2701117118717. The reversal of 2701117118680 is 868117111072.

It is a super-2 number, since 2×2701117118680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15252244 + ... + 15428323.

It is an arithmetic number, because the mean of its divisors is an integer number (99405040320).

Almost surely, 2^{2701117118680} is an apocalyptic number.

2701117118680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2701117118680 is an abundant number, since it is smaller than the sum of its proper divisors (3660805461800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2701117118680 is a wasteful number, since it uses less digits than its factorization.

2701117118680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30680680 (or 30680676 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 43.

The spelling of 2701117118680 in words is "two trillion, seven hundred one billion, one hundred seventeen million, one hundred eighteen thousand, six hundred eighty".