2227720320 has 480 divisors, whose sum is σ = 9265015980. Its totient is φ = 508612608.

The previous prime is 2227720301. The next prime is 2227720321. The reversal of 2227720320 is 230277222.

It can be written as a sum of positive squares in 2 ways, for example, as 2196984384 + 30735936 = 46872^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2227720321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2539722 + ... + 2540598.

Almost surely, 2^2227720320 is an apocalyptic number.

2227720320 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 2227720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632507990).

2227720320 is an abundant number, since it is smaller than the sum of its proper divisors (7037295660).

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

2227720320 is an equidigital number, since it uses as much as digits as its factorization.

2227720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2227720320 is about 47198.7321863628. The cubic root of 2227720320 is about 1306.0312102902.

Adding to 2227720320 its reverse (230277222), we get a palindrome (2457997542).

The spelling of 2227720320 in words is "two billion, two hundred twenty-seven million, seven hundred twenty thousand, three hundred twenty".