2082466804800 has 168 divisors, whose sum is σ = 6833480884192. Its totient is φ = 555222528000.

The previous prime is 2082466804783. The next prime is 2082466804841. The reversal of 2082466804800 is 84086642802.

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 2082466804800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28191915 + ... + 28265685.

Almost surely, 2^{2082466804800} is an apocalyptic number.

2082466804800 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 2082466804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416740442096).

2082466804800 is an abundant number, since it is smaller than the sum of its proper divisors (4751014079392).

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

2082466804800 is a wasteful number, since it uses less digits than its factorization.

2082466804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79677 (or 79662 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 2082466804800 in words is "two trillion, eighty-two billion, four hundred sixty-six million, eight hundred four thousand, eight hundred".