2081899312800 has 144 divisors (see below), whose sum is σ = 6790387699872. Its totient is φ = 554042137600.

The previous prime is 2081899312781. The next prime is 2081899312937. The reversal of 2081899312800 is 82139981802.

It is a super-2 number, since 2×2081899312800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295042 + ... + 2061758.

It is an arithmetic number, because the mean of its divisors is an integer number (47155470138).

Almost surely, 2^{2081899312800} is an apocalyptic number.

2081899312800 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 2081899312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395193849936).

2081899312800 is an abundant number, since it is smaller than the sum of its proper divisors (4708488387072).

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

2081899312800 is a wasteful number, since it uses less digits than its factorization.

2081899312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767231 (or 1767218 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 2081899312800 in words is "two trillion, eighty-one billion, eight hundred ninety-nine million, three hundred twelve thousand, eight hundred".