2324240400 has 120 divisors (see below), whose sum is σ = 7483499200. Its totient is φ = 616619520.

The previous prime is 2324240371. The next prime is 2324240437. The reversal of 2324240400 is 40424232.

It is a tau number, because it is divible by the number of its divisors (120).

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, 233934 + ... + 243666.

Almost surely, 2^2324240400 is an apocalyptic number.

2324240400 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 2324240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741749600).

2324240400 is an abundant number, since it is smaller than the sum of its proper divisors (5159258800).

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

2324240400 is a wasteful number, since it uses less digits than its factorization.

2324240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2324240400 is about 48210.3764764392. The cubic root of 2324240400 is about 1324.6272405795.

Adding to 2324240400 its reverse (40424232), we get a palindrome (2364664632).

The spelling of 2324240400 in words is "two billion, three hundred twenty-four million, two hundred forty thousand, four hundred".