2430034120 has 64 divisors (see below), whose sum is σ = 5689278000. Its totient is φ = 932994048.

The previous prime is 2430034109. The next prime is 2430034171. The reversal of 2430034120 is 214300342.

It can be written as a sum of positive squares in 8 ways, for example, as 2294218404 + 135815716 = 47898^2 + 11654^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 194626 + ... + 206734.

Almost surely, 2^2430034120 is an apocalyptic number.

2430034120 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 2430034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844639000).

2430034120 is an abundant number, since it is smaller than the sum of its proper divisors (3259243880).

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

2430034120 is a wasteful number, since it uses less digits than its factorization.

2430034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2430034120 is about 49295.3762537624. The cubic root of 2430034120 is about 1344.4277163463.

Adding to 2430034120 its reverse (214300342), we get a palindrome (2644334462).

The spelling of 2430034120 in words is "two billion, four hundred thirty million, thirty-four thousand, one hundred twenty".