2284378200 has 240 divisors, whose sum is σ = 8545078080. Its totient is φ = 562256640.

The previous prime is 2284378183. The next prime is 2284378223. The reversal of 2284378200 is 28734822.

2284378200 is a `hidden beast` number, since 2 + 2 + 84 + 378 + 200 = 666.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 205177 + ... + 216023.

It is an arithmetic number, because the mean of its divisors is an integer number (35604492).

Almost surely, 2^2284378200 is an apocalyptic number.

2284378200 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 2284378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272539040).

2284378200 is an abundant number, since it is smaller than the sum of its proper divisors (6260699880).

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

2284378200 is a wasteful number, since it uses less digits than its factorization.

2284378200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2284378200 is about 47795.1692119612. The cubic root of 2284378200 is about 1317.0107979044.

The spelling of 2284378200 in words is "two billion, two hundred eighty-four million, three hundred seventy-eight thousand, two hundred".