2272509344 has 48 divisors (see below), whose sum is σ = 5129744256. Its totient is φ = 970771200.

The previous prime is 2272509341. The next prime is 2272509367. The reversal of 2272509344 is 4439052722.

It is a happy number.

It is a super-3 number, since 3×2272509344³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2272509298 and 2272509307.

It is not an unprimeable number, because it can be changed into a prime (2272509341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53354 + ... + 85974.

It is an arithmetic number, because the mean of its divisors is an integer number (106869672).

Almost surely, 2^2272509344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272509344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564872128).

2272509344 is an abundant number, since it is smaller than the sum of its proper divisors (2857234912).

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

2272509344 is a wasteful number, since it uses less digits than its factorization.

2272509344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32949 (or 32941 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 2272509344 is about 47670.8437517105. The cubic root of 2272509344 is about 1314.7259220513.

The spelling of 2272509344 in words is "two billion, two hundred seventy-two million, five hundred nine thousand, three hundred forty-four".