1984273984 has 112 divisors (see below), whose sum is σ = 4931030016. Its totient is φ = 769651200.

The previous prime is 1984273969. The next prime is 1984274021. The reversal of 1984273984 is 4893724891.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1295299 + ... + 1296829.

Almost surely, 2^1984273984 is an apocalyptic number.

1984273984 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 1984273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465515008).

1984273984 is an abundant number, since it is smaller than the sum of its proper divisors (2946756032).

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

1984273984 is a wasteful number, since it uses less digits than its factorization.

1984273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1814 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The square root of 1984273984 is about 44545.1903576581. The cubic root of 1984273984 is about 1256.6101002321.

The spelling of 1984273984 in words is "one billion, nine hundred eighty-four million, two hundred seventy-three thousand, nine hundred eighty-four".