2220221120 has 112 divisors (see below), whose sum is σ = 5774545728. Its totient is φ = 808120320.

The previous prime is 2220221099. The next prime is 2220221123. The reversal of 2220221120 is 211220222.

It is a junction number, because it is equal to n+sod(n) for n = 2220221095 and 2220221104.

It is not an unprimeable number, because it can be changed into a prime (2220221123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291602 + ... + 299118.

It is an arithmetic number, because the mean of its divisors is an integer number (51558444).

Almost surely, 2^2220221120 is an apocalyptic number.

2220221120 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 2220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887272864).

2220221120 is an abundant number, since it is smaller than the sum of its proper divisors (3554324608).

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

2220221120 is a wasteful number, since it uses less digits than its factorization.

2220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7608 counting only the distinct ones).

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

The square root of 2220221120 is about 47119.2224044498. Note that the first 3 decimals coincide. The cubic root of 2220221120 is about 1304.5640602384.

Adding to 2220221120 its reverse (211220222), we get a palindrome (2431441342).

The spelling of 2220221120 in words is "two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".