2211320320 has 160 divisors (see below), whose sum is σ = 6089878080. Its totient is φ = 761610240.

The previous prime is 2211320311. The next prime is 2211320359. The reversal of 2211320320 is 230231122.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2211320294 and 2211320303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532974 + ... + 537106.

It is an arithmetic number, because the mean of its divisors is an integer number (38061738).

Almost surely, 2^2211320320 is an apocalyptic number.

2211320320 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 2211320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044939040).

2211320320 is an abundant number, since it is smaller than the sum of its proper divisors (3878557760).

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

2211320320 is a wasteful number, since it uses less digits than its factorization.

2211320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2211320320 is about 47024.6777766738. The cubic root of 2211320320 is about 1302.8184059772.

Adding to 2211320320 its reverse (230231122), we get a palindrome (2441551442).

The spelling of 2211320320 in words is "two billion, two hundred eleven million, three hundred twenty thousand, three hundred twenty".