2124288 has 60 divisors (see below), whose sum is σ = 6144138. Its totient is φ = 706560.

The previous prime is 2124277. The next prime is 2124289. The reversal of 2124288 is 8824212.

2124288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 186624 = 1392^2 + 432^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2124289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4378 + ... + 4838.

2^2124288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072069).

2124288 is an abundant number, since it is smaller than the sum of its proper divisors (4019850).

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

2124288 is an equidigital number, since it uses as much as digits as its factorization.

2124288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

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

The square root of 2124288 is about 1457.4937392661. The cubic root of 2124288 is about 128.5497190858.

The spelling of 2124288 in words is "two million, one hundred twenty-four thousand, two hundred eighty-eight".