2210211120 has 160 divisors (see below), whose sum is σ = 7407900864. Its totient is φ = 541900800.

The previous prime is 2210211079. The next prime is 2210211121. The reversal of 2210211120 is 211120122.

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 = 2210211096 and 2210211105.

It is not an unprimeable number, because it can be changed into a prime (2210211121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875460 + ... + 877980.

Almost surely, 2^2210211120 is an apocalyptic number.

2210211120 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 2210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703950432).

2210211120 is an abundant number, since it is smaller than the sum of its proper divisors (5197689744).

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

2210211120 is a wasteful number, since it uses less digits than its factorization.

2210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2210211120 is about 47012.8824898027. The cubic root of 2210211120 is about 1302.6005379688.

Adding to 2210211120 its reverse (211120122), we get a palindrome (2421331242).

The spelling of 2210211120 in words is "two billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".