2430200000 has 168 divisors, whose sum is σ = 6250381200. Its totient is φ = 936320000.

The previous prime is 2430199979. The next prime is 2430200021. The reversal of 2430200000 is 20342.

It is an interprime number because it is at equal distance from previous prime (2430199979) and next prime (2430200021).

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 23 ways as a sum of consecutive naturals, for example, 5799791 + ... + 5800209.

It is an arithmetic number, because the mean of its divisors is an integer number (37204650).

Almost surely, 2^2430200000 is an apocalyptic number.

2430200000 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 2430200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125190600).

2430200000 is an abundant number, since it is smaller than the sum of its proper divisors (3820181200).

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

2430200000 is an frugal number, since it uses more digits than its factorization.

2430200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2430200000 is about 49297.0587357907. The cubic root of 2430200000 is about 1344.4583069450.

Adding to 2430200000 its reverse (20342), we get a palindrome (2430220342).

The spelling of 2430200000 in words is "two billion, four hundred thirty million, two hundred thousand".