1982730832992 has 1152 divisors, whose sum is σ = 7665085209600. Its totient is φ = 489534160896.

The previous prime is 1982730832963. The next prime is 1982730833003. The reversal of 1982730832992 is 2992380372891.

1982730832992 is a `hidden beast` number, since 19 + 8 + 27 + 308 + 3 + 299 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1196577828 + ... + 1196579484.

It is an arithmetic number, because the mean of its divisors is an integer number (6653719800).

Almost surely, 2^{1982730832992} is an apocalyptic number.

1982730832992 is a gapful number since it is divisible by the number (12) 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 1982730832992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832542604800).

1982730832992 is an abundant number, since it is smaller than the sum of its proper divisors (5682354376608).

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

1982730832992 is a wasteful number, since it uses less digits than its factorization.

1982730832992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1982730832992 in words is "one trillion, nine hundred eighty-two billion, seven hundred thirty million, eight hundred thirty-two thousand, nine hundred ninety-two".