2213112320 has 160 divisors (see below), whose sum is σ = 5562501120. Its totient is φ = 843448320.

The previous prime is 2213112313. The next prime is 2213112331. The reversal of 2213112320 is 232113122.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2213112320² = 9795732281871564800, which contains 22 as substring.

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, 6269264 + ... + 6269616.

It is an arithmetic number, because the mean of its divisors is an integer number (34765632).

Almost surely, 2^2213112320 is an apocalyptic number.

2213112320 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 2213112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781250560).

2213112320 is an abundant number, since it is smaller than the sum of its proper divisors (3349388800).

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

2213112320 is an equidigital number, since it uses as much as digits as its factorization.

2213112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2213112320 is about 47043.7277434516. The cubic root of 2213112320 is about 1303.1702350328.

Adding to 2213112320 its reverse (232113122), we get a palindrome (2445225442).

The spelling of 2213112320 in words is "two billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty".