2282224448 has 56 divisors (see below), whose sum is σ = 5183136192. Its totient is φ = 976702464.

The previous prime is 2282224447. The next prime is 2282224453. The reversal of 2282224448 is 8444222822.

It is a tau number, because it is divible by the number of its divisors (56).

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 (2282224447) 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 7 ways as a sum of consecutive naturals, for example, 349340 + ... + 355812.

Almost surely, 2^2282224448 is an apocalyptic number.

2282224448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591568096).

2282224448 is an abundant number, since it is smaller than the sum of its proper divisors (2900911744).

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

2282224448 is an equidigital number, since it uses as much as digits as its factorization.

2282224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7269 counting only the distinct ones).

The product of its digits is 131072, while the sum is 38.

The square root of 2282224448 is about 47772.6328351285. The cubic root of 2282224448 is about 1316.5967674335.

The spelling of 2282224448 in words is "two billion, two hundred eighty-two million, two hundred twenty-four thousand, four hundred forty-eight".