2210120220 has 192 divisors, whose sum is σ = 7752729600. Its totient is φ = 457021440.

The previous prime is 2210120201. The next prime is 2210120221. The reversal of 2210120220 is 220210122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2210120196 and 2210120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210120221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056936 + ... + 1059024.

It is an arithmetic number, because the mean of its divisors is an integer number (40378800).

Almost surely, 2^2210120220 is an apocalyptic number.

2210120220 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 2210120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876364800).

2210120220 is an abundant number, since it is smaller than the sum of its proper divisors (5542609380).

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

2210120220 is a wasteful number, since it uses less digits than its factorization.

2210120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2210120220 is about 47011.9157235695. The cubic root of 2210120220 is about 1302.5826802461.

Adding to 2210120220 its reverse (220210122), we get a palindrome (2430330342).

The spelling of 2210120220 in words is "two billion, two hundred ten million, one hundred twenty thousand, two hundred twenty".