2424128 has 42 divisors (see below), whose sum is σ = 5602986. Its totient is φ = 1037568.

The previous prime is 2424113. The next prime is 2424137. The reversal of 2424128 is 8214242.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1517824 + 906304 = 1232^2 + 952^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2750 + ... + 3522.

2^2424128 is an apocalyptic number.

2424128 is a gapful number since it is divisible by the number (28) 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 2424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801493).

2424128 is an abundant number, since it is smaller than the sum of its proper divisors (3178858).

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

2424128 is an equidigital number, since it uses as much as digits as its factorization.

2424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 2424128 is about 1556.9611427393. The cubic root of 2424128 is about 134.3337636584. Note that the first 3 decimals are identical.

It can be divided in two parts, 2424 and 128, that added together give a palindrome (2552).

The spelling of 2424128 in words is "two million, four hundred twenty-four thousand, one hundred twenty-eight".