2085825600 has 336 divisors, whose sum is σ = 7755575040. Its totient is φ = 545126400.

The previous prime is 2085825589. The next prime is 2085825601. The reversal of 2085825600 is 65285802.

2085825600 is a `hidden beast` number, since 20 + 8 + 5 + 8 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085825601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2289145 + ... + 2290055.

Almost surely, 2^2085825600 is an apocalyptic number.

2085825600 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 2085825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877787520).

2085825600 is an abundant number, since it is smaller than the sum of its proper divisors (5669749440).

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

2085825600 is a wasteful number, since it uses less digits than its factorization.

2085825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2085825600 is about 45670.8397120088. The cubic root of 2085825600 is about 1277.6914770251.

The spelling of 2085825600 in words is "two billion, eighty-five million, eight hundred twenty-five thousand, six hundred".