2711671564 has 192 divisors, whose sum is σ = 6410880000. Its totient is φ = 995742720.

The previous prime is 2711671561. The next prime is 2711671597. The reversal of 2711671564 is 4651761172.

It is not an unprimeable number, because it can be changed into a prime (2711671561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12851419 + ... + 12851629.

It is an arithmetic number, because the mean of its divisors is an integer number (33390000).

Almost surely, 2^2711671564 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 2711671564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440000).

2711671564 is an abundant number, since it is smaller than the sum of its proper divisors (3699208436).

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

2711671564 is a wasteful number, since it uses less digits than its factorization.

2711671564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The square root of 2711671564 is about 52073.7127925405. The cubic root of 2711671564 is about 1394.4802325301.

The spelling of 2711671564 in words is "two billion, seven hundred eleven million, six hundred seventy-one thousand, five hundred sixty-four".