2182824 has 96 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 604800.

The previous prime is 2182819. The next prime is 2182841. The reversal of 2182824 is 4282812.

It is a super-2 number, since 2×2182824² = 9529441229952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 30709 + ... + 30779.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

2^2182824 is an apocalyptic number.

2182824 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 2182824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2182824 is an abundant number, since it is smaller than the sum of its proper divisors (4781016).

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

2182824 is a wasteful number, since it uses less digits than its factorization.

2182824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2182824 is about 1477.4383235858. The cubic root of 2182824 is about 129.7197909334.

The spelling of 2182824 in words is "two million, one hundred eighty-two thousand, eight hundred twenty-four".