2085828800 has 168 divisors, whose sum is σ = 5781153792. Its totient is φ = 733824000.

The previous prime is 2085828737. The next prime is 2085828817. The reversal of 2085828800 is 88285802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543689 + ... + 547511.

Almost surely, 2^2085828800 is an apocalyptic number.

2085828800 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 2085828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890576896).

2085828800 is an abundant number, since it is smaller than the sum of its proper divisors (3695324992).

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

2085828800 is a wasteful number, since it uses less digits than its factorization.

2085828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 2085828800 is about 45670.8747452904. The cubic root of 2085828800 is about 1277.6921304212.

The spelling of 2085828800 in words is "two billion, eighty-five million, eight hundred twenty-eight thousand, eight hundred".