2284291200 has 384 divisors, whose sum is σ = 7930296000. Its totient is φ = 577290240.

The previous prime is 2284291189. The next prime is 2284291231. The reversal of 2284291200 is 21924822.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20956746 + ... + 20956854.

Almost surely, 2^2284291200 is an apocalyptic number.

2284291200 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 2284291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965148000).

2284291200 is an abundant number, since it is smaller than the sum of its proper divisors (5646004800).

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

2284291200 is a wasteful number, since it uses less digits than its factorization.

2284291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2284291200 is about 47794.2590694740. The cubic root of 2284291200 is about 1316.9940783446.

The spelling of 2284291200 in words is "two billion, two hundred eighty-four million, two hundred ninety-one thousand, two hundred".