2211110320 has 80 divisors (see below), whose sum is σ = 5287161600. Its totient is φ = 859443200.

The previous prime is 2211110303. The next prime is 2211110327. The reversal of 2211110320 is 230111122.

2211110320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2211110320.

It is not an unprimeable number, because it can be changed into a prime (2211110327) 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, 920481 + ... + 922879.

It is an arithmetic number, because the mean of its divisors is an integer number (66089520).

Almost surely, 2^2211110320 is an apocalyptic number.

2211110320 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 2211110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643580800).

2211110320 is an abundant number, since it is smaller than the sum of its proper divisors (3076051280).

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

2211110320 is a wasteful number, since it uses less digits than its factorization.

2211110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2211110320 is about 47022.4448534952. Note that the first 3 decimals coincide. The cubic root of 2211110320 is about 1302.7771635689. Note that the first 3 decimals are identical.

Adding to 2211110320 its reverse (230111122), we get a palindrome (2441221442).

The spelling of 2211110320 in words is "two billion, two hundred eleven million, one hundred ten thousand, three hundred twenty".