2034046328832 has 896 divisors, whose sum is σ = 7136172672000. Its totient is φ = 579400335360.

The previous prime is 2034046328827. The next prime is 2034046328851. The reversal of 2034046328832 is 2388236404302.

2034046328832 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 0 + 4 + 632 + 8 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

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, 6145154907 + ... + 6145155237.

Almost surely, 2^{2034046328832} 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 2034046328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568086336000).

2034046328832 is an abundant number, since it is smaller than the sum of its proper divisors (5102126343168).

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

2034046328832 is an frugal number, since it uses more digits than its factorization.

2034046328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2034046328832 in words is "two trillion, thirty-four billion, forty-six million, three hundred twenty-eight thousand, eight hundred thirty-two".