2090228716800 has 2160 divisors, whose sum is σ = 9662683548672. Its totient is φ = 434759270400.

The previous prime is 2090228716799. The next prime is 2090228716843. The reversal of 2090228716800 is 86178220902.

2090228716800 is a `hidden beast` number, since 209 + 0 + 2 + 287 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1912377054 + ... + 1912378146.

Almost surely, 2^{2090228716800} is an apocalyptic number.

2090228716800 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 2090228716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831341774336).

2090228716800 is an abundant number, since it is smaller than the sum of its proper divisors (7572454831872).

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

2090228716800 is a wasteful number, since it uses less digits than its factorization.

2090228716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2090228716800 in words is "two trillion, ninety billion, two hundred twenty-eight million, seven hundred sixteen thousand, eight hundred".