2982168 has 96 divisors (see below), whose sum is σ = 9478560. Its totient is φ = 829440.

The previous prime is 2982149. The next prime is 2982173. The reversal of 2982168 is 8612892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30696 + ... + 30792.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

2^2982168 is an apocalyptic number.

2982168 is a gapful number since it is divisible by the number (28) 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 2982168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739280).

2982168 is an abundant number, since it is smaller than the sum of its proper divisors (6496392).

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

2982168 is a wasteful number, since it uses less digits than its factorization.

2982168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2982168 is about 1726.8954803346. The cubic root of 2982168 is about 143.9386312575.

Adding to 2982168 its product of digits (13824), we get a palindrome (2995992).

The spelling of 2982168 in words is "two million, nine hundred eighty-two thousand, one hundred sixty-eight".