2442434400 has 864 divisors, whose sum is σ = 10724313600. Its totient is φ = 521579520.

The previous prime is 2442434369. The next prime is 2442434413. The reversal of 2442434400 is 44342442.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56800779 + ... + 56800821.

It is an arithmetic number, because the mean of its divisors is an integer number (12412400).

Almost surely, 2^2442434400 is an apocalyptic number.

2442434400 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 2442434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

2442434400 is an abundant number, since it is smaller than the sum of its proper divisors (8281879200).

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

2442434400 is a wasteful number, since it uses less digits than its factorization.

2442434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2442434400 is about 49420.9914914705. The cubic root of 2442434400 is about 1346.7106750750.

Adding to 2442434400 its reverse (44342442), we get a palindrome (2486776842).

The spelling of 2442434400 in words is "two billion, four hundred forty-two million, four hundred thirty-four thousand, four hundred".