2430023100 has 144 divisors (see below), whose sum is σ = 7470876000. Its totient is φ = 608670720.

The previous prime is 2430023083. The next prime is 2430023111. The reversal of 2430023100 is 13200342.

It is a super-2 number, since 2×2430023100² = 11810024533067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2430023100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318126 + ... + 325674.

Almost surely, 2^2430023100 is an apocalyptic number.

2430023100 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 2430023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735438000).

2430023100 is an abundant number, since it is smaller than the sum of its proper divisors (5040852900).

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

2430023100 is a wasteful number, since it uses less digits than its factorization.

2430023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2430023100 is about 49295.2644784466. The cubic root of 2430023100 is about 1344.4256840545.

Adding to 2430023100 its reverse (13200342), we get a palindrome (2443223442).

The spelling of 2430023100 in words is "two billion, four hundred thirty million, twenty-three thousand, one hundred".