2832775991040 has 576 divisors, whose sum is σ = 9317862449280. Its totient is φ = 733269196800.

The previous prime is 2832775991039. The next prime is 2832775991057. The reversal of 2832775991040 is 401995772382.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4777024984 + ... + 4777025576.

It is an arithmetic number, because the mean of its divisors is an integer number (16176844530).

Almost surely, 2^{2832775991040} is an apocalyptic number.

2832775991040 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 2832775991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658931224640).

2832775991040 is an abundant number, since it is smaller than the sum of its proper divisors (6485086458240).

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

2832775991040 is a wasteful number, since it uses less digits than its factorization.

2832775991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 2832775991040 in words is "two trillion, eight hundred thirty-two billion, seven hundred seventy-five million, nine hundred ninety-one thousand, forty".