2833493980800 has 768 divisors, whose sum is σ = 11028359854080. Its totient is φ = 625895424000.

The previous prime is 2833493980783. The next prime is 2833493980813. The reversal of 2833493980800 is 80893943382.

2833493980800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375442627 + ... + 375450173.

It is an arithmetic number, because the mean of its divisors is an integer number (14359843560).

Almost surely, 2^{2833493980800} is an apocalyptic number.

2833493980800 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 2833493980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514179927040).

2833493980800 is an abundant number, since it is smaller than the sum of its proper divisors (8194865873280).

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

2833493980800 is a wasteful number, since it uses less digits than its factorization.

2833493980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 2833493980800 in words is "two trillion, eight hundred thirty-three billion, four hundred ninety-three million, nine hundred eighty thousand, eight hundred".