2796883135800 has 768 divisors, whose sum is σ = 10344837888000. Its totient is φ = 618085416960.

The previous prime is 2796883135759. The next prime is 2796883135801. The reversal of 2796883135800 is 85313886972.

2796883135800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2796883135801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1338861156 + ... + 1338863244.

It is an arithmetic number, because the mean of its divisors is an integer number (13469841000).

Almost surely, 2^{2796883135800} is an apocalyptic number.

2796883135800 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 2796883135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172418944000).

2796883135800 is an abundant number, since it is smaller than the sum of its proper divisors (7547954752200).

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

2796883135800 is a wasteful number, since it uses less digits than its factorization.

2796883135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 2796883135800 in words is "two trillion, seven hundred ninety-six billion, eight hundred eighty-three million, one hundred thirty-five thousand, eight hundred".