1982823770304 has 336 divisors, whose sum is σ = 6169676158464. Its totient is φ = 605221632000.

The previous prime is 1982823770281. The next prime is 1982823770309. The reversal of 1982823770304 is 4030773282891.

1982823770304 is a `hidden beast` number, since 19 + 8 + 28 + 237 + 70 + 304 = 666.

It is not an unprimeable number, because it can be changed into a prime (1982823770309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843394729 + ... + 843397079.

It is an arithmetic number, because the mean of its divisors is an integer number (18362131424).

Almost surely, 2^{1982823770304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982823770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084838079232).

1982823770304 is an abundant number, since it is smaller than the sum of its proper divisors (4186852388160).

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

1982823770304 is a wasteful number, since it uses less digits than its factorization.

1982823770304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1982823770304 in words is "one trillion, nine hundred eighty-two billion, eight hundred twenty-three million, seven hundred seventy thousand, three hundred four".