2826115275900 has 288 divisors, whose sum is σ = 9667501240320. Its totient is φ = 623768832000.

The previous prime is 2826115275857. The next prime is 2826115275911. The reversal of 2826115275900 is 95725116282.

It is a self number, because there is not a number n which added to its sum of digits gives 2826115275900.

It is a congruent number.

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, 29964016 + ... + 30058184.

It is an arithmetic number, because the mean of its divisors is an integer number (33567712640).

Almost surely, 2^{2826115275900} is an apocalyptic number.

2826115275900 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 2826115275900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833750620160).

2826115275900 is an abundant number, since it is smaller than the sum of its proper divisors (6841385964420).

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

2826115275900 is a wasteful number, since it uses less digits than its factorization.

2826115275900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94685 (or 94678 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 2826115275900 in words is "two trillion, eight hundred twenty-six billion, one hundred fifteen million, two hundred seventy-five thousand, nine hundred".