2711960166846 has 288 divisors, whose sum is σ = 7028059813632. Its totient is φ = 694147829760.

The previous prime is 2711960166841. The next prime is 2711960166847. The reversal of 2711960166846 is 6486610691172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711960166841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 412336710 + ... + 412343286.

It is an arithmetic number, because the mean of its divisors is an integer number (24402985464).

Almost surely, 2^{2711960166846} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711960166846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514029906816).

2711960166846 is an abundant number, since it is smaller than the sum of its proper divisors (4316099646786).

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

2711960166846 is a wasteful number, since it uses less digits than its factorization.

2711960166846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 2711960166846 in words is "two trillion, seven hundred eleven billion, nine hundred sixty million, one hundred sixty-six thousand, eight hundred forty-six".