1984866912 has 288 divisors, whose sum is σ = 6698764800. Its totient is φ = 557141760.

The previous prime is 1984866899. The next prime is 1984866913. The reversal of 1984866912 is 2196684891.

1984866912 is a `hidden beast` number, since 1 + 98 + 486 + 69 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984866913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7013523 + ... + 7013805.

It is an arithmetic number, because the mean of its divisors is an integer number (23259600).

Almost surely, 2^1984866912 is an apocalyptic number.

1984866912 is a gapful number since it is divisible by the number (12) 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 1984866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349382400).

1984866912 is an abundant number, since it is smaller than the sum of its proper divisors (4713897888).

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

1984866912 is a wasteful number, since it uses less digits than its factorization.

1984866912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1984866912 is about 44551.8452143118. The cubic root of 1984866912 is about 1256.7352518188.

The spelling of 1984866912 in words is "one billion, nine hundred eighty-four million, eight hundred sixty-six thousand, nine hundred twelve".