2244440320 has 72 divisors (see below), whose sum is σ = 5431860504. Its totient is φ = 888471552.

The previous prime is 2244440311. The next prime is 2244440329. The reversal of 2244440320 is 230444422.

It is an interprime number because it is at equal distance from previous prime (2244440311) and next prime (2244440329).

It can be written as a sum of positive squares in 4 ways, for example, as 730296576 + 1514143744 = 27024^2 + 38912^2 .

It is not an unprimeable number, because it can be changed into a prime (2244440329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115122 + ... + 133198.

It is an arithmetic number, because the mean of its divisors is an integer number (75442507).

Almost surely, 2^2244440320 is an apocalyptic number.

2244440320 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 2244440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715930252).

2244440320 is an abundant number, since it is smaller than the sum of its proper divisors (3187420184).

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

2244440320 is an equidigital number, since it uses as much as digits as its factorization.

2244440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18195 (or 18181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2244440320 is about 47375.5244825849. The cubic root of 2244440320 is about 1309.2905118388.

Adding to 2244440320 its reverse (230444422), we get a palindrome (2474884742).

The spelling of 2244440320 in words is "two billion, two hundred forty-four million, four hundred forty thousand, three hundred twenty".