2430112100 has 72 divisors (see below), whose sum is σ = 5709301248. Its totient is φ = 892483200.

The previous prime is 2430112093. The next prime is 2430112117. The reversal of 2430112100 is 12110342.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243407 + ... + 253193.

Almost surely, 2^2430112100 is an apocalyptic number.

2430112100 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 2430112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854650624).

2430112100 is an abundant number, since it is smaller than the sum of its proper divisors (3279189148).

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

2430112100 is a wasteful number, since it uses less digits than its factorization.

2430112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005 (or 9998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2430112100 is about 49296.1671938093. The cubic root of 2430112100 is about 1344.4420971255.

Adding to 2430112100 its reverse (12110342), we get a palindrome (2442222442).

The spelling of 2430112100 in words is "two billion, four hundred thirty million, one hundred twelve thousand, one hundred".