2282726448 has 280 divisors, whose sum is σ = 7078023168. Its totient is φ = 711317376.

The previous prime is 2282726441. The next prime is 2282726449. The reversal of 2282726448 is 8446272822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282726441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17974161 + ... + 17974287.

Almost surely, 2^2282726448 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 2282726448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539011584).

2282726448 is an abundant number, since it is smaller than the sum of its proper divisors (4795296720).

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

2282726448 is a wasteful number, since it uses less digits than its factorization.

2282726448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 2282726448 is about 47777.8866003929. The cubic root of 2282726448 is about 1316.6932935989.

The spelling of 2282726448 in words is "two billion, two hundred eighty-two million, seven hundred twenty-six thousand, four hundred forty-eight".