2211304320 has 256 divisors, whose sum is σ = 7943515200. Its totient is φ = 581271552.

The previous prime is 2211304289. The next prime is 2211304321. The reversal of 2211304320 is 234031122.

2211304320 is a `hidden beast` number, since 221 + 13 + 0 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211304293 and 2211304302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211304321) 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, 1260564 + ... + 1262316.

Almost surely, 2^2211304320 is an apocalyptic number.

2211304320 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 2211304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971757600).

2211304320 is an abundant number, since it is smaller than the sum of its proper divisors (5732210880).

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

2211304320 is a wasteful number, since it uses less digits than its factorization.

2211304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2211304320 is about 47024.5076529250. The cubic root of 2211304320 is about 1302.8152637904.

Adding to 2211304320 its reverse (234031122), we get a palindrome (2445335442).

The spelling of 2211304320 in words is "two billion, two hundred eleven million, three hundred four thousand, three hundred twenty".