2280440448 has 384 divisors, whose sum is σ = 7841433600. Its totient is φ = 627056640.

The previous prime is 2280440443. The next prime is 2280440453. The reversal of 2280440448 is 8440440822.

It is an interprime number because it is at equal distance from previous prime (2280440443) and next prime (2280440453).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2280440443) 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 47 ways as a sum of consecutive naturals, for example, 17956161 + ... + 17956287.

It is an arithmetic number, because the mean of its divisors is an integer number (20420400).

Almost surely, 2^2280440448 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 2280440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920716800).

2280440448 is an abundant number, since it is smaller than the sum of its proper divisors (5560993152).

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

2280440448 is a wasteful number, since it uses less digits than its factorization.

2280440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 2280440448 is about 47753.9574066904. The cubic root of 2280440448 is about 1316.2536196306.

The spelling of 2280440448 in words is "two billion, two hundred eighty million, four hundred forty thousand, four hundred forty-eight".