2284413163200 has 1512 divisors, whose sum is σ = 9820482532224. Its totient is φ = 501645312000.

The previous prime is 2284413163187. The next prime is 2284413163267. The reversal of 2284413163200 is 23613144822.

2284413163200 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 4 + 13 + 1 + 632 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3959121312 + ... + 3959121888.

Almost surely, 2^{2284413163200} is an apocalyptic number.

2284413163200 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 2284413163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910241266112).

2284413163200 is an abundant number, since it is smaller than the sum of its proper divisors (7536069369024).

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

2284413163200 is a wasteful number, since it uses less digits than its factorization.

2284413163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2284413163200 in words is "two trillion, two hundred eighty-four billion, four hundred thirteen million, one hundred sixty-three thousand, two hundred".