2324430400 has 168 divisors, whose sum is σ = 6125373576. Its totient is φ = 865075200.

The previous prime is 2324430337. The next prime is 2324430421. The reversal of 2324430400 is 40344232.

It can be written as a sum of positive squares in 12 ways, for example, as 717382656 + 1607047744 = 26784^2 + 40088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2637960 + ... + 2638840.

It is an arithmetic number, because the mean of its divisors is an integer number (36460557).

Almost surely, 2^2324430400 is an apocalyptic number.

2324430400 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 2324430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062686788).

2324430400 is an abundant number, since it is smaller than the sum of its proper divisors (3800943176).

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

2324430400 is a wasteful number, since it uses less digits than its factorization.

2324430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2324430400 is about 48212.3469663114. The cubic root of 2324430400 is about 1324.6633344245.

Adding to 2324430400 its reverse (40344232), we get a palindrome (2364774632).

The spelling of 2324430400 in words is "two billion, three hundred twenty-four million, four hundred thirty thousand, four hundred".