2090800128 has 176 divisors, whose sum is σ = 5936627520. Its totient is φ = 652345344.

The previous prime is 2090800099. The next prime is 2090800133. The reversal of 2090800128 is 8210080902.

It is a junction number, because it is equal to n+sod(n) for n = 2090800095 and 2090800104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6595426 + ... + 6595742.

Almost surely, 2^2090800128 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 2090800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968313760).

2090800128 is an abundant number, since it is smaller than the sum of its proper divisors (3845827392).

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

2090800128 is a wasteful number, since it uses less digits than its factorization.

2090800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2090800128 is about 45725.2679379793. The cubic root of 2090800128 is about 1278.7064014321.

The spelling of 2090800128 in words is "two billion, ninety million, eight hundred thousand, one hundred twenty-eight".