2280882240 has 560 divisors, whose sum is σ = 9996172032. Its totient is φ = 480743424.

The previous prime is 2280882221. The next prime is 2280882251. The reversal of 2280882240 is 422880822.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 2280882195 and 2280882204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358237 + ... + 2359203.

Almost surely, 2^2280882240 is an apocalyptic number.

2280882240 is a gapful number since it is divisible by the number (20) 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 2280882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998086016).

2280882240 is an abundant number, since it is smaller than the sum of its proper divisors (7715289792).

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

2280882240 is a wasteful number, since it uses less digits than its factorization.

2280882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2280882240 is about 47758.5828935491. The cubic root of 2280882240 is about 1316.3386138505.

The spelling of 2280882240 in words is "two billion, two hundred eighty million, eight hundred eighty-two thousand, two hundred forty".