2022388300800 has 1848 divisors, whose sum is σ = 8729183501856. Its totient is φ = 454825082880.

The previous prime is 2022388300799. The next prime is 2022388300841. The reversal of 2022388300800 is 80038832202.

It is a super-2 number, since 2×2022388300800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14761958332 + ... + 14761958468.

Almost surely, 2^{2022388300800} is an apocalyptic number.

2022388300800 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 2022388300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364591750928).

2022388300800 is an abundant number, since it is smaller than the sum of its proper divisors (6706795201056).

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

2022388300800 is a wasteful number, since it uses less digits than its factorization.

2022388300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2022388300800 in words is "two trillion, twenty-two billion, three hundred eighty-eight million, three hundred thousand, eight hundred".