1982086656 has 160 divisors (see below), whose sum is σ = 5842983168. Its totient is φ = 592035840.

The previous prime is 1982086643. The next prime is 1982086681. The reversal of 1982086656 is 6566802891.

It is a junction number, because it is equal to n+sod(n) for n = 1982086599 and 1982086608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232605 + ... + 1234211.

Almost surely, 2^1982086656 is an apocalyptic number.

1982086656 is a gapful number since it is divisible by the number (16) 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 1982086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921491584).

1982086656 is an abundant number, since it is smaller than the sum of its proper divisors (3860896512).

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

1982086656 is a wasteful number, since it uses less digits than its factorization.

1982086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 1982086656 is about 44520.6318014468. The cubic root of 1982086656 is about 1256.1481967750.

The spelling of 1982086656 in words is "one billion, nine hundred eighty-two million, eighty-six thousand, six hundred fifty-six".