2820168 has 96 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 823680.

The previous prime is 2820131. The next prime is 2820179. The reversal of 2820168 is 8610282.

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 23 ways as a sum of consecutive naturals, for example, 21463 + ... + 21593.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2820168 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 2820168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2820168 is an abundant number, since it is smaller than the sum of its proper divisors (5828472).

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

2820168 is a wasteful number, since it uses less digits than its factorization.

2820168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

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

The square root of 2820168 is about 1679.3355829018. The cubic root of 2820168 is about 141.2835699572.

The spelling of 2820168 in words is "two million, eight hundred twenty thousand, one hundred sixty-eight".