2034334500 has 192 divisors, whose sum is σ = 6516357120. Its totient is φ = 489072000.

The previous prime is 2034334441. The next prime is 2034334513. The reversal of 2034334500 is 54334302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2293057 + ... + 2293943.

It is an arithmetic number, because the mean of its divisors is an integer number (33939360).

Almost surely, 2^2034334500 is an apocalyptic number.

2034334500 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 2034334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258178560).

2034334500 is an abundant number, since it is smaller than the sum of its proper divisors (4482022620).

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

2034334500 is a wasteful number, since it uses less digits than its factorization.

2034334500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2034334500 is about 45103.5974175010. The cubic root of 2034334500 is about 1267.0899747083.

Adding to 2034334500 its reverse (54334302), we get a palindrome (2088668802).

The spelling of 2034334500 in words is "two billion, thirty-four million, three hundred thirty-four thousand, five hundred".