2213264 has 40 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 1018368.

The previous prime is 2213243. The next prime is 2213279. The reversal of 2213264 is 4623122.

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, 21437 + ... + 21539.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

2^2213264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

2213264 is an abundant number, since it is smaller than the sum of its proper divisors (2429296).

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

2213264 is a wasteful number, since it uses less digits than its factorization.

2213264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 2213264 is about 1487.7042716884. The cubic root of 2213264 is about 130.3200006130.

Adding to 2213264 its reverse (4623122), we get a palindrome (6836386).

The spelling of 2213264 in words is "two million, two hundred thirteen thousand, two hundred sixty-four".