1982086848 has 504 divisors, whose sum is σ = 7289383440. Its totient is φ = 532998144.

The previous prime is 1982086789. The next prime is 1982086861. The reversal of 1982086848 is 8486802891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1982086794 and 1982086803.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116593336 + ... + 116593352.

Almost surely, 2^1982086848 is an apocalyptic number.

1982086848 is a gapful number since it is divisible by the number (18) 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 1982086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644691720).

1982086848 is an abundant number, since it is smaller than the sum of its proper divisors (5307296592).

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

1982086848 is an frugal number, since it uses more digits than its factorization.

1982086848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1982086848 is about 44520.6339577504. The cubic root of 1982086848 is about 1256.1482373350.

The spelling of 1982086848 in words is "one billion, nine hundred eighty-two million, eighty-six thousand, eight hundred forty-eight".