2412334300 has 72 divisors (see below), whose sum is σ = 5473087200. Its totient is φ = 921169920.

The previous prime is 2412334291. The next prime is 2412334303. The reversal of 2412334300 is 34332142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412334303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2136136 + ... + 2137264.

It is an arithmetic number, because the mean of its divisors is an integer number (76015100).

Almost surely, 2^2412334300 is an apocalyptic number.

2412334300 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 2412334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736543600).

2412334300 is an abundant number, since it is smaller than the sum of its proper divisors (3060752900).

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

2412334300 is a wasteful number, since it uses less digits than its factorization.

2412334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2412334300 is about 49115.5199504189. The cubic root of 2412334300 is about 1341.1555896264.

Adding to 2412334300 its reverse (34332142), we get a palindrome (2446666442).

The spelling of 2412334300 in words is "two billion, four hundred twelve million, three hundred thirty-four thousand, three hundred".