2272144896 has 360 divisors, whose sum is σ = 7913968920. Its totient is φ = 624992256.

The previous prime is 2272144891. The next prime is 2272144909. The reversal of 2272144896 is 6984412722.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272144891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6547795 + ... + 6548141.

It is an arithmetic number, because the mean of its divisors is an integer number (21983247).

Almost surely, 2^2272144896 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 2272144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956984460).

2272144896 is an abundant number, since it is smaller than the sum of its proper divisors (5641824024).

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

2272144896 is a wasteful number, since it uses less digits than its factorization.

2272144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2272144896 is about 47667.0210522957. The cubic root of 2272144896 is about 1314.6556363338.

The spelling of 2272144896 in words is "two billion, two hundred seventy-two million, one hundred forty-four thousand, eight hundred ninety-six".