2430204100 has 72 divisors (see below), whose sum is σ = 5385905280. Its totient is φ = 951515520.

The previous prime is 2430204097. The next prime is 2430204107. The reversal of 2430204100 is 14020342.

It is not an unprimeable number, because it can be changed into a prime (2430204107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633557 + ... + 1635043.

It is an arithmetic number, because the mean of its divisors is an integer number (74804240).

Almost surely, 2^2430204100 is an apocalyptic number.

2430204100 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 2430204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692952640).

2430204100 is an abundant number, since it is smaller than the sum of its proper divisors (2955701180).

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

2430204100 is a wasteful number, since it uses less digits than its factorization.

2430204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2430204100 is about 49297.1003204042. The cubic root of 2430204100 is about 1344.4590630249.

Adding to 2430204100 its reverse (14020342), we get a palindrome (2444224442).

The spelling of 2430204100 in words is "two billion, four hundred thirty million, two hundred four thousand, one hundred".