2668320 has 144 divisors (see below), whose sum is σ = 9729720. Its totient is φ = 663552.

The previous prime is 2668313. The next prime is 2668333. The reversal of 2668320 is 238662.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 121104 = 1596^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24426 + ... + 24534.

2^2668320 is an apocalyptic number.

2668320 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 2668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864860).

2668320 is an abundant number, since it is smaller than the sum of its proper divisors (7061400).

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

2668320 is a wasteful number, since it uses less digits than its factorization.

2668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2668320 is about 1633.4993112946. The cubic root of 2668320 is about 138.7009078820.

The spelling of 2668320 in words is "two million, six hundred sixty-eight thousand, three hundred twenty".