2243723328 has 630 divisors, whose sum is σ = 8620794798. Its totient is φ = 574801920.

The previous prime is 2243723311. The next prime is 2243723341. The reversal of 2243723328 is 8233273422.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 276623424 = 44352^2 + 16632^2 .

It is a super-2 number, since 2×2243723328² = 10068588745222791168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (96768) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2243723292 and 2243723301.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30735900 + ... + 30735972.

Almost surely, 2^2243723328 is an apocalyptic number.

2243723328 is a gapful number since it is divisible by the number (28) 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 2243723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310397399).

2243723328 is an abundant number, since it is smaller than the sum of its proper divisors (6377071470).

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

2243723328 is a wasteful number, since it uses less digits than its factorization.

2243723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2243723328 is about 47367.9567640404. The cubic root of 2243723328 is about 1309.1510782950.

The spelling of 2243723328 in words is "two billion, two hundred forty-three million, seven hundred twenty-three thousand, three hundred twenty-eight".