1929982416 has 80 divisors (see below), whose sum is σ = 5185709760. Its totient is φ = 618024960.

The previous prime is 1929982357. The next prime is 1929982441. The reversal of 1929982416 is 6142899291.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118240 + ... + 133568.

It is an arithmetic number, because the mean of its divisors is an integer number (64821372).

Almost surely, 2^1929982416 is an apocalyptic number.

1929982416 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 1929982416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592854880).

1929982416 is an abundant number, since it is smaller than the sum of its proper divisors (3255727344).

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

1929982416 is a wasteful number, since it uses less digits than its factorization.

1929982416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444 (or 15438 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 1929982416 is about 43931.5651439827. The cubic root of 1929982416 is about 1245.0432861839.

The spelling of 1929982416 in words is "one billion, nine hundred twenty-nine million, nine hundred eighty-two thousand, four hundred sixteen".