2664320 has 64 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 1013760.

The previous prime is 2664307. The next prime is 2664329. The reversal of 2664320 is 234662.

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

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664329) 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, 14630 + ... + 14810.

2^2664320 is an apocalyptic number.

2664320 is a gapful number since it is divisible by the number (20) 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 2664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2664320 is an abundant number, since it is smaller than the sum of its proper divisors (4018720).

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

2664320 is a wasteful number, since it uses less digits than its factorization.

2664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2664320 is about 1632.2744867209. The cubic root of 2664320 is about 138.6315657376.

Adding to 2664320 its reverse (234662), we get a palindrome (2898982).

It can be divided in two parts, 26 and 64320, that added together give a palindrome (64346).

The spelling of 2664320 in words is "two million, six hundred sixty-four thousand, three hundred twenty".