1984681824 has 24 divisors (see below), whose sum is σ = 5209790040. Its totient is φ = 661560576.

The previous prime is 1984681823. The next prime is 1984681843. The reversal of 1984681824 is 4281864891.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984681823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10336789 + ... + 10336980.

It is an arithmetic number, because the mean of its divisors is an integer number (217074585).

Almost surely, 2^1984681824 is an apocalyptic number.

It is an amenable number.

1984681824 is an abundant number, since it is smaller than the sum of its proper divisors (3225108216).

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

1984681824 is a wasteful number, since it uses less digits than its factorization.

1984681824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20673782 (or 20673774 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1984681824 is about 44549.7679455236. The cubic root of 1984681824 is about 1256.6961872610.

The spelling of 1984681824 in words is "one billion, nine hundred eighty-four million, six hundred eighty-one thousand, eight hundred twenty-four".