2282297472 has 640 divisors, whose sum is σ = 8708515200. Its totient is φ = 577290240.

The previous prime is 2282297467. The next prime is 2282297473. The reversal of 2282297472 is 2747922822.

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 (2282297473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38682979 + ... + 38683037.

It is an arithmetic number, because the mean of its divisors is an integer number (13607055).

Almost surely, 2^2282297472 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 2282297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354257600).

2282297472 is an abundant number, since it is smaller than the sum of its proper divisors (6426217728).

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

2282297472 is a wasteful number, since it uses less digits than its factorization.

2282297472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2282297472 is about 47773.3971159682. The cubic root of 2282297472 is about 1316.6108096014.

The spelling of 2282297472 in words is "two billion, two hundred eighty-two million, two hundred ninety-seven thousand, four hundred seventy-two".