2285880480 has 576 divisors, whose sum is σ = 9031357440. Its totient is φ = 539136000.

The previous prime is 2285880433. The next prime is 2285880491. The reversal of 2285880480 is 840885822.

2285880480 is a `hidden beast` number, since 2 + 28 + 588 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22632430 + ... + 22632530.

It is an arithmetic number, because the mean of its divisors is an integer number (15679440).

Almost surely, 2^2285880480 is an apocalyptic number.

2285880480 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 2285880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515678720).

2285880480 is an abundant number, since it is smaller than the sum of its proper divisors (6745476960).

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

2285880480 is a wasteful number, since it uses less digits than its factorization.

2285880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 2285880480 is about 47810.8824432262. The cubic root of 2285880480 is about 1317.2994374165.

The spelling of 2285880480 in words is "two billion, two hundred eighty-five million, eight hundred eighty thousand, four hundred eighty".