2210222120 has 64 divisors (see below), whose sum is σ = 5241196800. Its totient is φ = 836524800.

The previous prime is 2210222117. The next prime is 2210222129. The reversal of 2210222120 is 212220122.

It is a junction number, because it is equal to n+sod(n) for n = 2210222095 and 2210222104.

It is not an unprimeable number, because it can be changed into a prime (2210222129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 938945 + ... + 941295.

It is an arithmetic number, because the mean of its divisors is an integer number (81893700).

Almost surely, 2^2210222120 is an apocalyptic number.

2210222120 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 2210222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620598400).

2210222120 is an abundant number, since it is smaller than the sum of its proper divisors (3030974680).

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

2210222120 is a wasteful number, since it uses less digits than its factorization.

2210222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2210222120 is about 47012.9994788675. Note that the first 3 decimals coincide. The cubic root of 2210222120 is about 1302.6026989362.

Adding to 2210222120 its reverse (212220122), we get a palindrome (2422442242).

The spelling of 2210222120 in words is "two billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".