2753664 has 64 divisors (see below), whose sum is σ = 7490880. Its totient is φ = 896000.

The previous prime is 2753599. The next prime is 2753693. The reversal of 2753664 is 4663572.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

Its product of digits (30240) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27214 + ... + 27314.

It is an arithmetic number, because the mean of its divisors is an integer number (117045).

2^2753664 is an apocalyptic number.

2753664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440).

2753664 is an abundant number, since it is smaller than the sum of its proper divisors (4737216).

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

2753664 is a wasteful number, since it uses less digits than its factorization.

2753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 2753664 is about 1659.4167650111. The cubic root of 2753664 is about 140.1641611742.

The spelling of 2753664 in words is "two million, seven hundred fifty-three thousand, six hundred sixty-four".