2213120 has 144 divisors (see below), whose sum is σ = 6867840. Its totient is φ = 663552.

The previous prime is 2213093. The next prime is 2213137. The reversal of 2213120 is 213122.

It is a happy number.

2213120 is nontrivially palindromic in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116471 + ... + 116489.

2^2213120 is an apocalyptic number.

2213120 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 2213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433920).

2213120 is an abundant number, since it is smaller than the sum of its proper divisors (4654720).

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

2213120 is a wasteful number, since it uses less digits than its factorization.

2213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2213120 is about 1487.6558741860. The cubic root of 2213120 is about 130.3171742463.

Adding to 2213120 its reverse (213122), we get a palindrome (2426242).

The spelling of 2213120 in words is "two million, two hundred thirteen thousand, one hundred twenty".