2090205029376 has 352 divisors, whose sum is σ = 6290584934400. Its totient is φ = 685476126720.

The previous prime is 2090205029371. The next prime is 2090205029383. The reversal of 2090205029376 is 6739205020902.

It is a happy number.

2090205029376 is a `hidden beast` number, since 2 + 0 + 90 + 20 + 502 + 9 + 37 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2090205029371) 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 31 ways as a sum of consecutive naturals, for example, 1340733685 + ... + 1340735243.

Almost surely, 2^{2090205029376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090205029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145292467200).

2090205029376 is an abundant number, since it is smaller than the sum of its proper divisors (4200379905024).

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

2090205029376 is a wasteful number, since it uses less digits than its factorization.

2090205029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2090205029376 in words is "two trillion, ninety billion, two hundred five million, twenty-nine thousand, three hundred seventy-six".