2283941404800 has 2304 divisors, whose sum is σ = 9919502611200. Its totient is φ = 510935040000.

The previous prime is 2283941404799. The next prime is 2283941404867. The reversal of 2283941404800 is 84041493822.

2283941404800 is a `hidden beast` number, since 2 + 2 + 83 + 94 + 1 + 4 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12618460710 + ... + 12618460890.

It is an arithmetic number, because the mean of its divisors is an integer number (4305339675).

Almost surely, 2^{2283941404800} is an apocalyptic number.

2283941404800 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 2283941404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959751305600).

2283941404800 is an abundant number, since it is smaller than the sum of its proper divisors (7635561206400).

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

2283941404800 is a wasteful number, since it uses less digits than its factorization.

2283941404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2283941404800 in words is "two trillion, two hundred eighty-three billion, nine hundred forty-one million, four hundred four thousand, eight hundred".