2287824 has 80 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 593280.

The previous prime is 2287823. The next prime is 2287861. The reversal of 2287824 is 4287822.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287823) 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, 3387 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

2^2287824 is an apocalyptic number.

2287824 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 2287824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2287824 is an abundant number, since it is smaller than the sum of its proper divisors (5092656).

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

2287824 is a wasteful number, since it uses less digits than its factorization.

2287824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2287824 is about 1512.5554535289. Note that the first 3 decimals coincide. The cubic root of 2287824 is about 131.7672666694.

The spelling of 2287824 in words is "two million, two hundred eighty-seven thousand, eight hundred twenty-four".