2221304320 has 160 divisors (see below), whose sum is σ = 5775219648. Its totient is φ = 816119808.

The previous prime is 2221304311. The next prime is 2221304321. The reversal of 2221304320 is 234031222.

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

It is not an unprimeable number, because it can be changed into a prime (2221304321) 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, 1870767 + ... + 1871953.

Almost surely, 2^2221304320 is an apocalyptic number.

2221304320 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 2221304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887609824).

2221304320 is an abundant number, since it is smaller than the sum of its proper divisors (3553915328).

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

2221304320 is a wasteful number, since it uses less digits than its factorization.

2221304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2221304320 is about 47130.7152502484. The cubic root of 2221304320 is about 1304.7761823602.

Adding to 2221304320 its reverse (234031222), we get a palindrome (2455335542).

The spelling of 2221304320 in words is "two billion, two hundred twenty-one million, three hundred four thousand, three hundred twenty".