2220440320 has 144 divisors (see below), whose sum is σ = 6398864640. Its totient is φ = 721170432.

The previous prime is 2220440291. The next prime is 2220440323. The reversal of 2220440320 is 230440222.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2220440323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163719 + ... + 176761.

It is an arithmetic number, because the mean of its divisors is an integer number (44436560).

Almost surely, 2^2220440320 is an apocalyptic number.

2220440320 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 2220440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199432320).

2220440320 is an abundant number, since it is smaller than the sum of its proper divisors (4178424320).

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

2220440320 is a wasteful number, since it uses less digits than its factorization.

2220440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13076 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2220440320 is about 47121.5483616572. The cubic root of 2220440320 is about 1304.6069915527.

Adding to 2220440320 its reverse (230440222), we get a palindrome (2450880542).

The spelling of 2220440320 in words is "two billion, two hundred twenty million, four hundred forty thousand, three hundred twenty".