2217264 has 40 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 633408.

The previous prime is 2217251. The next prime is 2217277. The reversal of 2217264 is 4627122.

2217264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2217251) and next prime (2217277).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2964 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

2^2217264 is an apocalyptic number.

2217264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2217264 is an abundant number, since it is smaller than the sum of its proper divisors (4329936).

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

2217264 is a wasteful number, since it uses less digits than its factorization.

2217264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6611 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2217264 is about 1489.0480180303. The cubic root of 2217264 is about 130.3984618484.

The spelling of 2217264 in words is "two million, two hundred seventeen thousand, two hundred sixty-four".