2283807052800 has 3960 divisors, whose sum is σ = 11241026808000. Its totient is φ = 456497233920.

The previous prime is 2283807052799. The next prime is 2283807052897. The reversal of 2283807052800 is 82507083822.

2283807052800 is a `hidden beast` number, since 2 + 28 + 38 + 0 + 70 + 528 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 120200371191 + ... + 120200371209.

Almost surely, 2^{2283807052800} is an apocalyptic number.

2283807052800 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 2283807052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620513404000).

2283807052800 is an abundant number, since it is smaller than the sum of its proper divisors (8957219755200).

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

2283807052800 is a wasteful number, since it uses less digits than its factorization.

2283807052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2283807052800 in words is "two trillion, two hundred eighty-three billion, eight hundred seven million, fifty-two thousand, eight hundred".