2711995968081 has 32 divisors (see below), whose sum is σ = 4086974361600. Its totient is φ = 1589378837760.

The previous prime is 2711995968061. The next prime is 2711995968083. The reversal of 2711995968081 is 1808695991172.

2711995968081 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2711995968081 - 2⁷ = 2711995967953 is a prime.

It is a super-2 number, since 2×2711995968081² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2711995968083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19640761 + ... + 19778358.

It is an arithmetic number, because the mean of its divisors is an integer number (127717948800).

Almost surely, 2^{2711995968081} is an apocalyptic number.

It is an amenable number.

2711995968081 is a deficient number, since it is larger than the sum of its proper divisors (1374978393519).

2711995968081 is a wasteful number, since it uses less digits than its factorization.

2711995968081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39419229.

The product of its (nonzero) digits is 19595520, while the sum is 66.

The spelling of 2711995968081 in words is "two trillion, seven hundred eleven billion, nine hundred ninety-five million, nine hundred sixty-eight thousand, eighty-one".