1984122016 has 48 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 952439040.

The previous prime is 1984122011. The next prime is 1984122017. The reversal of 1984122016 is 6102214891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1984122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118110 + ... + 133858.

It is an arithmetic number, because the mean of its divisors is an integer number (84672000).

Almost surely, 2^1984122016 is an apocalyptic number.

1984122016 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 1984122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1984122016 is an abundant number, since it is smaller than the sum of its proper divisors (2080133984).

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

1984122016 is a wasteful number, since it uses less digits than its factorization.

1984122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1984122016 is about 44543.4845516154. The cubic root of 1984122016 is about 1256.5780197499.

It can be divided in two parts, 198 and 4122016, that added together give a palindrome (4122214).

The spelling of 1984122016 in words is "one billion, nine hundred eighty-four million, one hundred twenty-two thousand, sixteen".