2213331120 has 960 divisors, whose sum is σ = 10373336064. Its totient is φ = 408084480.

The previous prime is 2213331119. The next prime is 2213331151. The reversal of 2213331120 is 211333122.

2213331120 is a `hidden beast` number, since 2 + 213 + 331 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2213331093 and 2213331102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26666599 + ... + 26666681.

Almost surely, 2^2213331120 is an apocalyptic number.

2213331120 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 2213331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186668032).

2213331120 is an abundant number, since it is smaller than the sum of its proper divisors (8160004944).

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

2213331120 is a wasteful number, since it uses less digits than its factorization.

2213331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2213331120 is about 47046.0531819620. The cubic root of 2213331120 is about 1303.2131797204.

Adding to 2213331120 its reverse (211333122), we get a palindrome (2424664242).

It can be divided in two parts, 2213 and 331120, that added together give a palindrome (333333).

The spelling of 2213331120 in words is "two billion, two hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".