2430427100 has 72 divisors (see below), whose sum is σ = 5655263040. Its totient is φ = 903352320.

The previous prime is 2430427091. The next prime is 2430427121. The reversal of 2430427100 is 17240342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125252 + ... + 143348.

It is an arithmetic number, because the mean of its divisors is an integer number (78545320).

Almost surely, 2^2430427100 is an apocalyptic number.

2430427100 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 2430427100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827631520).

2430427100 is an abundant number, since it is smaller than the sum of its proper divisors (3224835940).

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

2430427100 is a wasteful number, since it uses less digits than its factorization.

2430427100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18207 (or 18200 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2430427100 is about 49299.3620648381. The cubic root of 2430427100 is about 1344.5001851129.

Adding to 2430427100 its reverse (17240342), we get a palindrome (2447667442).

The spelling of 2430427100 in words is "two billion, four hundred thirty million, four hundred twenty-seven thousand, one hundred".