2743664 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 998400.

The previous prime is 2743627. The next prime is 2743669. The reversal of 2743664 is 4663472.

Its product of digits (24192) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 2743664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20879 + ... + 21009.

2^2743664 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 2743664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2743664 is an abundant number, since it is smaller than the sum of its proper divisors (4327312).

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

2743664 is a wasteful number, since it uses less digits than its factorization.

2743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 24192, while the sum is 32.

The square root of 2743664 is about 1656.4009176525. The cubic root of 2743664 is about 139.9942854810.

The spelling of 2743664 in words is "two million, seven hundred forty-three thousand, six hundred sixty-four".