2162468 has 72 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 779520.

The previous prime is 2162449. The next prime is 2162497. The reversal of 2162468 is 8642612.

2162468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4608) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2162468.

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 23 ways as a sum of consecutive naturals, for example, 36623 + ... + 36681.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2162468 is an apocalyptic number.

2162468 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 2162468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2162468 is an abundant number, since it is smaller than the sum of its proper divisors (3008572).

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

2162468 is a wasteful number, since it uses less digits than its factorization.

2162468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 2162468 is about 1470.5332366186. The cubic root of 2162468 is about 129.3152954851.

The spelling of 2162468 in words is "two million, one hundred sixty-two thousand, four hundred sixty-eight".