2085120 has 108 divisors (see below), whose sum is σ = 7254156. Its totient is φ = 552960.

The previous prime is 2085089. The next prime is 2085121. The reversal of 2085120 is 215802.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 1806336 = 528^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2085093 and 2085102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11430 + ... + 11610.

2^2085120 is an apocalyptic number.

2085120 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 2085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627078).

2085120 is an abundant number, since it is smaller than the sum of its proper divisors (5169036).

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

2085120 is a wasteful number, since it uses less digits than its factorization.

2085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2085120 is about 1443.9944598232. The cubic root of 2085120 is about 127.7547386873.

The spelling of 2085120 in words is "two million, eighty-five thousand, one hundred twenty".