2711211110656 has 72 divisors (see below), whose sum is σ = 5452592796000. Its totient is φ = 1345401876480.

The previous prime is 2711211110623. The next prime is 2711211110681. The reversal of 2711211110656 is 6560111121172.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122718171 + ... + 122740261.

It is an arithmetic number, because the mean of its divisors is an integer number (75730455500).

Almost surely, 2^{2711211110656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711211110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726296398000).

2711211110656 is an abundant number, since it is smaller than the sum of its proper divisors (2741381685344).

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

2711211110656 is a wasteful number, since it uses less digits than its factorization.

2711211110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25695 (or 25681 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 2711211110656 in words is "two trillion, seven hundred eleven billion, two hundred eleven million, one hundred ten thousand, six hundred fifty-six".