2424400 has 120 divisors (see below), whose sum is σ = 6919200. Its totient is φ = 806400.

The previous prime is 2424391. The next prime is 2424427. The reversal of 2424400 is 44242.

2424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 83586 + ... + 83614.

It is an arithmetic number, because the mean of its divisors is an integer number (57660).

2^2424400 is an apocalyptic number.

2424400 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 2424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459600).

2424400 is an abundant number, since it is smaller than the sum of its proper divisors (4494800).

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

2424400 is a wasteful number, since it uses less digits than its factorization.

2424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2424400 is about 1557.0484899322. The cubic root of 2424400 is about 134.3387877904.

2424400 divided by its sum of digits (16) gives a triangular number (151525 = T₅₅₀).

Adding to 2424400 its reverse (44242), we get a palindrome (2468642).

The spelling of 2424400 in words is "two million, four hundred twenty-four thousand, four hundred".