2082168 has 72 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 628320.

The previous prime is 2082163. The next prime is 2082181. The reversal of 2082168 is 8612802.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082163) 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 17 ways as a sum of consecutive naturals, for example, 8593 + ... + 8831.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

2^2082168 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 2082168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2082168 is an abundant number, since it is smaller than the sum of its proper divisors (4142232).

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

2082168 is a wasteful number, since it uses less digits than its factorization.

2082168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2082168 is about 1442.9719331990. The cubic root of 2082168 is about 127.6944207994.

The spelling of 2082168 in words is "two million, eighty-two thousand, one hundred sixty-eight".