2022652800000 has 1584 divisors, whose sum is σ = 8514975006720. Its totient is φ = 452874240000.

The previous prime is 2022652799963. The next prime is 2022652800011. The reversal of 2022652800000 is 82562202.

2022652800000 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 652 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2022652800000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15926399937 + ... + 15926400063.

Almost surely, 2^{2022652800000} is an apocalyptic number.

2022652800000 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 2022652800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257487503360).

2022652800000 is an abundant number, since it is smaller than the sum of its proper divisors (6492322206720).

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

2022652800000 is an equidigital number, since it uses as much as digits as its factorization.

2022652800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2022652800000 in words is "two trillion, twenty-two billion, six hundred fifty-two million, eight hundred thousand".