2434304000 has 192 divisors, whose sum is σ = 6262991280. Its totient is φ = 943718400.

The previous prime is 2434303973. The next prime is 2434304009. The reversal of 2434304000 is 4034342.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1101177856 + 1333126144 = 33184^2 + 36512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434304009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9471872 + ... + 9472128.

Almost surely, 2^2434304000 is an apocalyptic number.

2434304000 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 2434304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131495640).

2434304000 is an abundant number, since it is smaller than the sum of its proper divisors (3828687280).

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

2434304000 is an equidigital number, since it uses as much as digits as its factorization.

2434304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2434304000 is about 49338.6663784095. Note that the first 3 decimals coincide. The cubic root of 2434304000 is about 1345.2146992613.

Adding to 2434304000 its reverse (4034342), we get a palindrome (2438338342).

The spelling of 2434304000 in words is "two billion, four hundred thirty-four million, three hundred four thousand".