2824224 has 96 divisors (see below), whose sum is σ = 8354304. Its totient is φ = 829440.

The previous prime is 2824207. The next prime is 2824259. The reversal of 2824224 is 4224282.

It is a tau number, because it is divible by the number of its divisors (96).

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 d-powerful number, because it can be written as 2⁵ + 8⁷ + 2¹¹ + 4⁶ + 2¹⁷ + 2¹⁹ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 2824194 and 2824203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38652 + ... + 38724.

It is an arithmetic number, because the mean of its divisors is an integer number (87024).

2^2824224 is an apocalyptic number.

2824224 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 2824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177152).

2824224 is an abundant number, since it is smaller than the sum of its proper divisors (5530080).

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

2824224 is a wasteful number, since it uses less digits than its factorization.

2824224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

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

The square root of 2824224 is about 1680.5427694647. The cubic root of 2824224 is about 141.3512694297.

The spelling of 2824224 in words is "two million, eight hundred twenty-four thousand, two hundred twenty-four".