2082144 has 72 divisors (see below), whose sum is σ = 5852952. Its totient is φ = 647680.

The previous prime is 2082133. The next prime is 2082163. The reversal of 2082144 is 4412802.

It is a self number, because there is not a number n which added to its sum of digits gives 2082144.

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 11 ways as a sum of consecutive naturals, for example, 50764 + ... + 50804.

It is an arithmetic number, because the mean of its divisors is an integer number (81291).

2^2082144 is an apocalyptic number.

2082144 is a gapful number since it is divisible by the number (24) 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 2082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926476).

2082144 is an abundant number, since it is smaller than the sum of its proper divisors (3770808).

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

2082144 is a wasteful number, since it uses less digits than its factorization.

2082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2082144 is about 1442.9636170049. The cubic root of 2082144 is about 127.6939301765.

Adding to 2082144 its reverse (4412802), we get a palindrome (6494946).

The spelling of 2082144 in words is "two million, eighty-two thousand, one hundred forty-four".