2430342300 has 72 divisors (see below), whose sum is σ = 7048048896. Its totient is φ = 646592960.

The previous prime is 2430342289. The next prime is 2430342301. The reversal of 2430342300 is 32430342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430342301) by changing a digit.

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, 123757 + ... + 142043.

It is an arithmetic number, because the mean of its divisors is an integer number (97889568).

Almost surely, 2^2430342300 is an apocalyptic number.

2430342300 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 2430342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524024448).

2430342300 is an abundant number, since it is smaller than the sum of its proper divisors (4617706596).

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

2430342300 is a wasteful number, since it uses less digits than its factorization.

2430342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18747 (or 18740 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2430342300 is about 49298.5020056391. The cubic root of 2430342300 is about 1344.4845479516.

Adding to 2430342300 its reverse (32430342), we get a palindrome (2462772642).

The spelling of 2430342300 in words is "two billion, four hundred thirty million, three hundred forty-two thousand, three hundred".