2284858800 has 240 divisors, whose sum is σ = 9294484480. Its totient is φ = 522236160.

The previous prime is 2284858759. The next prime is 2284858811. The reversal of 2284858800 is 88584822.

2284858800 is a `hidden beast` number, since 2 + 28 + 48 + 588 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60489 + ... + 90711.

Almost surely, 2^2284858800 is an apocalyptic number.

2284858800 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 2284858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647242240).

2284858800 is an abundant number, since it is smaller than the sum of its proper divisors (7009625680).

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

2284858800 is a wasteful number, since it uses less digits than its factorization.

2284858800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30257 (or 30240 counting only the distinct ones).

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

The square root of 2284858800 is about 47800.1966523151. The cubic root of 2284858800 is about 1317.1031514103.

The spelling of 2284858800 in words is "two billion, two hundred eighty-four million, eight hundred fifty-eight thousand, eight hundred".