2032834350096 has 480 divisors, whose sum is σ = 6762662400000. Its totient is φ = 563175244800.

The previous prime is 2032834350089. The next prime is 2032834350109. The reversal of 2032834350096 is 6900534382302.

2032834350096 is a `hidden beast` number, since 2 + 0 + 3 + 28 + 34 + 3 + 500 + 96 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 353595030 + ... + 353600778.

It is an arithmetic number, because the mean of its divisors is an integer number (14088880000).

Almost surely, 2^{2032834350096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032834350096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381331200000).

2032834350096 is an abundant number, since it is smaller than the sum of its proper divisors (4729828049904).

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

2032834350096 is a wasteful number, since it uses less digits than its factorization.

2032834350096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2032834350096 in words is "two trillion, thirty-two billion, eight hundred thirty-four million, three hundred fifty thousand, ninety-six".