2034234334000 has 240 divisors, whose sum is σ = 5460187588128. Its totient is φ = 732388800000.

The previous prime is 2034234333953. The next prime is 2034234334007. The reversal of 2034234334000 is 4334324302.

It is a self number, because there is not a number n which added to its sum of digits gives 2034234334000.

It is not an unprimeable number, because it can be changed into a prime (2034234334007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24400387 + ... + 24483613.

Almost surely, 2^{2034234334000} is an apocalyptic number.

2034234334000 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 2034234334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730093794064).

2034234334000 is an abundant number, since it is smaller than the sum of its proper divisors (3425953254128).

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

2034234334000 is a wasteful number, since it uses less digits than its factorization.

2034234334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83373 (or 83346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 2034234334000 its reverse (4334324302), we get a palindrome (2038568658302).

The spelling of 2034234334000 in words is "two trillion, thirty-four billion, two hundred thirty-four million, three hundred thirty-four thousand".