2213360 has 40 divisors (see below), whose sum is σ = 5230320. Its totient is φ = 870912.

The previous prime is 2213353. The next prime is 2213363. The reversal of 2213360 is 633122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213363) 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, 5651 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (130758).

2^2213360 is an apocalyptic number.

2213360 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 2213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615160).

2213360 is an abundant number, since it is smaller than the sum of its proper divisors (3016960).

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

2213360 is a wasteful number, since it uses less digits than its factorization.

2213360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2213360 is about 1487.7365358154. The cubic root of 2213360 is about 130.3218847894.

Adding to 2213360 its reverse (633122), we get a palindrome (2846482).

The spelling of 2213360 in words is "two million, two hundred thirteen thousand, three hundred sixty".