1982654006340 has 384 divisors, whose sum is σ = 6821627904000. Its totient is φ = 428890775040.

The previous prime is 1982654006303. The next prime is 1982654006351. The reversal of 1982654006340 is 436004562891.

It is a self number, because there is not a number n which added to its sum of digits gives 1982654006340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 518881630 + ... + 518885450.

It is an arithmetic number, because the mean of its divisors is an integer number (17764656000).

Almost surely, 2^{1982654006340} is an apocalyptic number.

1982654006340 is a gapful number since it is divisible by the number (10) 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 1982654006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410813952000).

1982654006340 is an abundant number, since it is smaller than the sum of its proper divisors (4838973897660).

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

1982654006340 is a wasteful number, since it uses less digits than its factorization.

1982654006340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1982654006340 in words is "one trillion, nine hundred eighty-two billion, six hundred fifty-four million, six thousand, three hundred forty".