2668224 has 56 divisors (see below), whose sum is σ = 7609840. Its totient is φ = 820224.

The previous prime is 2668219. The next prime is 2668229. The reversal of 2668224 is 4228662.

It is an interprime number because it is at equal distance from previous prime (2668219) and next prime (2668229).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2668191 and 2668200.

It is not an unprimeable number, because it can be changed into a prime (2668229) 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, 1962 + ... + 3030.

It is an arithmetic number, because the mean of its divisors is an integer number (135890).

2^2668224 is an apocalyptic number.

2668224 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 2668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804920).

2668224 is an abundant number, since it is smaller than the sum of its proper divisors (4941616).

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

2668224 is a wasteful number, since it uses less digits than its factorization.

2668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2668224 is about 1633.4699262613. The cubic root of 2668224 is about 138.6992444824.

The spelling of 2668224 in words is "two million, six hundred sixty-eight thousand, two hundred twenty-four".