2818791091200 has 1584 divisors, whose sum is σ = 11708821658880. Its totient is φ = 594501304320.

The previous prime is 2818791091199. The next prime is 2818791091301. The reversal of 2818791091200 is 21901978182.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2818791091200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2510053839 + ... + 2510054961.

Almost surely, 2^{2818791091200} is an apocalyptic number.

2818791091200 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 2818791091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854410829440).

2818791091200 is an abundant number, since it is smaller than the sum of its proper divisors (8890030567680).

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

2818791091200 is a wasteful number, since it uses less digits than its factorization.

2818791091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 2818791091200 in words is "two trillion, eight hundred eighteen billion, seven hundred ninety-one million, ninety-one thousand, two hundred".