2850073960032 has 288 divisors, whose sum is σ = 9065289830688. Its totient is φ = 875621892096.

The previous prime is 2850073960003. The next prime is 2850073960091. The reversal of 2850073960032 is 2300693700582.

2850073960032 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 0 + 7 + 3 + 9 + 600 + 32 = 666.

2850073960032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2850073960032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68011278 + ... + 68053170.

It is an arithmetic number, because the mean of its divisors is an integer number (31476700801).

Almost surely, 2^{2850073960032} 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 2850073960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532644915344).

2850073960032 is an abundant number, since it is smaller than the sum of its proper divisors (6215215870656).

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

2850073960032 is a wasteful number, since it uses less digits than its factorization.

2850073960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604 (or 42584 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2850073960032 in words is "two trillion, eight hundred fifty billion, seventy-three million, nine hundred sixty thousand, thirty-two".