2085000 has 80 divisors (see below), whose sum is σ = 6560400. Its totient is φ = 552000.

The previous prime is 2084993. The next prime is 2085007. The reversal of 2085000 is 5802.

It is an interprime number because it is at equal distance from previous prime (2084993) and next prime (2085007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2085007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14931 + ... + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (82005).

2^2085000 is an apocalyptic number.

2085000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2085000 is the 834-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280200).

2085000 is an abundant number, since it is smaller than the sum of its proper divisors (4475400).

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

2085000 is a wasteful number, since it uses less digits than its factorization.

2085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2085000 is about 1443.9529078194. The cubic root of 2085000 is about 127.7522878511.

The spelling of 2085000 in words is "two million, eighty-five thousand".