1982113776 has 120 divisors (see below), whose sum is σ = 5887926720. Its totient is φ = 620310528.

The previous prime is 1982113753. The next prime is 1982113813. The reversal of 1982113776 is 6773112891.

1982113776 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392201 + ... + 1393623.

It is an arithmetic number, because the mean of its divisors is an integer number (49066056).

Almost surely, 2^1982113776 is an apocalyptic number.

1982113776 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 1982113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943963360).

1982113776 is an abundant number, since it is smaller than the sum of its proper divisors (3905812944).

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

1982113776 is a wasteful number, since it uses less digits than its factorization.

1982113776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2014 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 1982113776 is about 44520.9363782929. The cubic root of 1982113776 is about 1256.1539258524.

The spelling of 1982113776 in words is "one billion, nine hundred eighty-two million, one hundred thirteen thousand, seven hundred seventy-six".