2289844224 has 180 divisors, whose sum is σ = 6762715596. Its totient is φ = 746323968.

The previous prime is 2289844211. The next prime is 2289844231. The reversal of 2289844224 is 4224489822.

It can be written as a sum of positive squares in 2 ways, for example, as 1950105600 + 339738624 = 44160^2 + 18432^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2289844224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7815022 + ... + 7815314.

Almost surely, 2^2289844224 is an apocalyptic number.

2289844224 is a gapful number since it is divisible by the number (24) 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 2289844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381357798).

2289844224 is an abundant number, since it is smaller than the sum of its proper divisors (4472871372).

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

2289844224 is an equidigital number, since it uses as much as digits as its factorization.

2289844224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 351 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2289844224 is about 47852.3168091159. The cubic root of 2289844224 is about 1318.0604020542.

The spelling of 2289844224 in words is "two billion, two hundred eighty-nine million, eight hundred forty-four thousand, two hundred twenty-four".