1982701666624 has 672 divisors, whose sum is σ = 5147200028160. Its totient is φ = 740378935296.

The previous prime is 1982701666597. The next prime is 1982701666657. The reversal of 1982701666624 is 4266661072891.

It is a super-2 number, since 2×1982701666624² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17546032392 + ... + 17546032504.

Almost surely, 2^{1982701666624} is an apocalyptic number.

1982701666624 is a gapful number since it is divisible by the number (14) 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 1982701666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573600014080).

1982701666624 is an abundant number, since it is smaller than the sum of its proper divisors (3164498361536).

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

1982701666624 is a wasteful number, since it uses less digits than its factorization.

1982701666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 1982701666624 in words is "one trillion, nine hundred eighty-two billion, seven hundred one million, six hundred sixty-six thousand, six hundred twenty-four".