2185792 has 84 divisors (see below), whose sum is σ = 5472684. Its totient is φ = 860160.

The previous prime is 2185789. The next prime is 2185801. The reversal of 2185792 is 2975812.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 1382976 = 896^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (10080) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53292 + ... + 53332.

It is an arithmetic number, because the mean of its divisors is an integer number (65151).

2^2185792 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 2185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736342).

2185792 is an abundant number, since it is smaller than the sum of its proper divisors (3286892).

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

2185792 is a wasteful number, since it uses less digits than its factorization.

2185792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 2185792 is about 1478.4424236337. The cubic root of 2185792 is about 129.7785579208.

Subtracting from 2185792 its product of digits (10080), we obtain a palindrome (2175712).

The spelling of 2185792 in words is "two million, one hundred eighty-five thousand, seven hundred ninety-two".