2282467200 has 192 divisors, whose sum is σ = 8096617200. Its totient is φ = 561807360.

The previous prime is 2282467199. The next prime is 2282467223. The reversal of 2282467200 is 27642822.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115656 + ... + 133944.

Almost surely, 2^2282467200 is an apocalyptic number.

2282467200 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 2282467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048308600).

2282467200 is an abundant number, since it is smaller than the sum of its proper divisors (5814150000).

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

2282467200 is a wasteful number, since it uses less digits than its factorization.

2282467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18329 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2282467200 is about 47775.1734690728. The cubic root of 2282467200 is about 1316.6434463316.

The spelling of 2282467200 in words is "two billion, two hundred eighty-two million, four hundred sixty-seven thousand, two hundred".