2284093800 has 144 divisors (see below), whose sum is σ = 7686725280. Its totient is φ = 607824000.

The previous prime is 2284093793. The next prime is 2284093807. The reversal of 2284093800 is 83904822.

It is an interprime number because it is at equal distance from previous prime (2284093793) and next prime (2284093807).

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

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 (2284093807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134795 + ... + 1136805.

Almost surely, 2^2284093800 is an apocalyptic number.

2284093800 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 2284093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843362640).

2284093800 is an abundant number, since it is smaller than the sum of its proper divisors (5402631480).

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

2284093800 is a wasteful number, since it uses less digits than its factorization.

2284093800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2284093800 is about 47792.1939232758. The cubic root of 2284093800 is about 1316.9561406654.

The spelling of 2284093800 in words is "two billion, two hundred eighty-four million, ninety-three thousand, eight hundred".