2123434300 has 216 divisors, whose sum is σ = 5575424400. Its totient is φ = 697282560.

The previous prime is 2123434289. The next prime is 2123434309. The reversal of 2123434300 is 34343212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123434309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5458506 + ... + 5458894.

It is an arithmetic number, because the mean of its divisors is an integer number (25812150).

Almost surely, 2^2123434300 is an apocalyptic number.

2123434300 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 2123434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787712200).

2123434300 is an abundant number, since it is smaller than the sum of its proper divisors (3451990100).

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

2123434300 is a wasteful number, since it uses less digits than its factorization.

2123434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 445 counting only the distinct ones).

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

The square root of 2123434300 is about 46080.7367562629. The cubic root of 2123434300 is about 1285.3249643690.

Adding to 2123434300 its reverse (34343212), we get a palindrome (2157777512).

The spelling of 2123434300 in words is "two billion, one hundred twenty-three million, four hundred thirty-four thousand, three hundred".