2247823872 has 480 divisors, whose sum is σ = 8043235200. Its totient is φ = 613122048.

The previous prime is 2247823867. The next prime is 2247823873. The reversal of 2247823872 is 2783287422.

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

It is not an unprimeable number, because it can be changed into a prime (2247823873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25256404 + ... + 25256492.

It is an arithmetic number, because the mean of its divisors is an integer number (16756740).

Almost surely, 2^2247823872 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 2247823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2247823872 is an abundant number, since it is smaller than the sum of its proper divisors (5795411328).

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

2247823872 is an frugal number, since it uses more digits than its factorization.

2247823872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 2247823872 is about 47411.2209503193. The cubic root of 2247823872 is about 1309.9481113025.

The spelling of 2247823872 in words is "two billion, two hundred forty-seven million, eight hundred twenty-three thousand, eight hundred seventy-two".