2090726798160 has 960 divisors, whose sum is σ = 9097159244544. Its totient is φ = 390168576000.

The previous prime is 2090726798129. The next prime is 2090726798177. The reversal of 2090726798160 is 618976270902.

It is a super-2 number, since 2×2090726798160² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2090726798160.

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 191 ways as a sum of consecutive naturals, for example, 62205360 + ... + 62238960.

Almost surely, 2^{2090726798160} is an apocalyptic number.

2090726798160 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 2090726798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548579622272).

2090726798160 is an abundant number, since it is smaller than the sum of its proper divisors (7006432446384).

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

2090726798160 is a wasteful number, since it uses less digits than its factorization.

2090726798160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33692 (or 33679 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 2090726798160 in words is "two trillion, ninety billion, seven hundred twenty-six million, seven hundred ninety-eight thousand, one hundred sixty".