2711664 has 40 divisors (see below), whose sum is σ = 7784720. Its totient is φ = 903744.

The previous prime is 2711647. The next prime is 2711669. The reversal of 2711664 is 4661172.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2707 + ... + 3570.

It is an arithmetic number, because the mean of its divisors is an integer number (194618).

2^2711664 is an apocalyptic number.

2711664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2711664 is an abundant number, since it is smaller than the sum of its proper divisors (5073056).

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

2711664 is a wasteful number, since it uses less digits than its factorization.

2711664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6282 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2711664 is about 1646.7130897640. The cubic root of 2711664 is about 139.4478935930.

It can be divided in two parts, 2711 and 664, that added together give a cube (3375 = 15³).

The spelling of 2711664 in words is "two million, seven hundred eleven thousand, six hundred sixty-four".