2084160 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 509952.

The previous prime is 2084141. The next prime is 2084179. The reversal of 2084160 is 614802.

It is an interprime number because it is at equal distance from previous prime (2084141) and next prime (2084179).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12397 + ... + 12563.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

2^2084160 is an apocalyptic number.

2084160 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 2084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2084160 is an abundant number, since it is smaller than the sum of its proper divisors (5084736).

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

2084160 is a wasteful number, since it uses less digits than its factorization.

2084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2084160 is about 1443.6620103057. The cubic root of 2084160 is about 127.7351293641.

Adding to 2084160 its reverse (614802), we get a palindrome (2698962).

The spelling of 2084160 in words is "two million, eighty-four thousand, one hundred sixty".