2272327344 has 200 divisors, whose sum is σ = 7912509440. Its totient is φ = 615019392.

The previous prime is 2272327339. The next prime is 2272327427. The reversal of 2272327344 is 4437232722.

2272327344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a junction number, because it is equal to n+sod(n) for n = 2272327299 and 2272327308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165777 + ... + 178959.

Almost surely, 2^2272327344 is an apocalyptic number.

2272327344 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 2272327344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956254720).

2272327344 is an abundant number, since it is smaller than the sum of its proper divisors (5640182096).

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

2272327344 is a wasteful number, since it uses less digits than its factorization.

2272327344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13214 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 2272327344 is about 47668.9347898608. The cubic root of 2272327344 is about 1314.6908233315.

The spelling of 2272327344 in words is "two billion, two hundred seventy-two million, three hundred twenty-seven thousand, three hundred forty-four".