2090079936000 has 1920 divisors, whose sum is σ = 9078774921216. Its totient is φ = 469396684800.

The previous prime is 2090079935987. The next prime is 2090079936001. The reversal of 2090079936000 is 6399700902.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×2090079936000³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090079936001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7947071869 + ... + 7947072131.

Almost surely, 2^{2090079936000} is an apocalyptic number.

2090079936000 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 2090079936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539387460608).

2090079936000 is an abundant number, since it is smaller than the sum of its proper divisors (6988694985216).

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

2090079936000 is an frugal number, since it uses more digits than its factorization.

2090079936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 2090079936000 in words is "two trillion, ninety billion, seventy-nine million, nine hundred thirty-six thousand".