2224824 has 128 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 552960.

The previous prime is 2224801. The next prime is 2224837. The reversal of 2224824 is 4284222.

2224824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2224794 and 2224803.

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 31 ways as a sum of consecutive naturals, for example, 54244 + ... + 54284.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^2224824 is an apocalyptic number.

2224824 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 2224824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2224824 is an abundant number, since it is smaller than the sum of its proper divisors (5032776).

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

2224824 is a wasteful number, since it uses less digits than its factorization.

2224824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 2224824 is about 1491.5843925169. The cubic root of 2224824 is about 130.5464962545.

The spelling of 2224824 in words is "two million, two hundred twenty-four thousand, eight hundred twenty-four".