2284480800 has 576 divisors, whose sum is σ = 9786873600. Its totient is φ = 503193600.

The previous prime is 2284480739. The next prime is 2284480811. The reversal of 2284480800 is 80844822.

2284480800 is a `hidden beast` number, since 22 + 84 + 480 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4384540 + ... + 4385060.

It is an arithmetic number, because the mean of its divisors is an integer number (16991100).

Almost surely, 2^2284480800 is an apocalyptic number.

2284480800 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 2284480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893436800).

2284480800 is an abundant number, since it is smaller than the sum of its proper divisors (7502392800).

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

2284480800 is a wasteful number, since it uses less digits than its factorization.

2284480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

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

The square root of 2284480800 is about 47796.2425301404. The cubic root of 2284480800 is about 1317.0305149088.

The spelling of 2284480800 in words is "two billion, two hundred eighty-four million, four hundred eighty thousand, eight hundred".