2713664 has 28 divisors (see below), whose sum is σ = 5448300. Its totient is φ = 1340928.

The previous prime is 2713657. The next prime is 2713673. The reversal of 2713664 is 4663172.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 1459264 = 1120^2 + 1208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6782 + ... + 7170.

2^2713664 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 2713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724150).

2713664 is an abundant number, since it is smaller than the sum of its proper divisors (2734636).

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

2713664 is a wasteful number, since it uses less digits than its factorization.

2713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 2713664 is about 1647.3202481606. The cubic root of 2713664 is about 139.4821686419.

The spelling of 2713664 in words is "two million, seven hundred thirteen thousand, six hundred sixty-four".