2842224 has 80 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 737280.

The previous prime is 2842223. The next prime is 2842237. The reversal of 2842224 is 4222482.

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 = 2842194 and 2842203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3312 + ... + 4080.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

2^2842224 is an apocalyptic number.

2842224 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 2842224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

2842224 is an abundant number, since it is smaller than the sum of its proper divisors (6323856).

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

2842224 is a wasteful number, since it uses less digits than its factorization.

2842224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

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

The square root of 2842224 is about 1685.8896761058. The cubic root of 2842224 is about 141.6509312780.

The spelling of 2842224 in words is "two million, eight hundred forty-two thousand, two hundred twenty-four".