2424200 has 96 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 844800.

The previous prime is 2424199. The next prime is 2424209. The reversal of 2424200 is 24242.

It is a happy number.

2424200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2424209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78185 + ... + 78215.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^2424200 is an apocalyptic number.

2424200 is a gapful number since it is divisible by the number (20) 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 2424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2424200 is an abundant number, since it is smaller than the sum of its proper divisors (4003960).

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

2424200 is a wasteful number, since it uses less digits than its factorization.

2424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2424200 is about 1556.9842645319. The cubic root of 2424200 is about 134.3350936123.

Adding to 2424200 its reverse (24242), we get a palindrome (2448442).

Multiplying 2424200 by its reverse (24242), we get a square (58767456400 = 242420²).

2424200 divided by its reverse (24242) gives a square (100 = 10²).

The spelling of 2424200 in words is "two million, four hundred twenty-four thousand, two hundred".