2423242400 has 72 divisors (see below), whose sum is σ = 5922800604. Its totient is φ = 968140800.

The previous prime is 2423242397. The next prime is 2423242417. The reversal of 2423242400 is 42423242.

2423242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1222481296 + 1200761104 = 34964^2 + 34652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055654 + ... + 1057946.

Almost surely, 2^2423242400 is an apocalyptic number.

2423242400 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 2423242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961400302).

2423242400 is an abundant number, since it is smaller than the sum of its proper divisors (3499558204).

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

2423242400 is a wasteful number, since it uses less digits than its factorization.

2423242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2423242400 is about 49226.4400500382. The cubic root of 2423242400 is about 1343.1740307140.

Adding to 2423242400 its reverse (42423242), we get a palindrome (2465665642).

The spelling of 2423242400 in words is "two billion, four hundred twenty-three million, two hundred forty-two thousand, four hundred".