9981009024 has 128 divisors (see below), whose sum is σ = 30437191680. Its totient is φ = 2838758400.

The previous prime is 9981009001. The next prime is 9981009109. The reversal of 9981009024 is 4209001899.

It is a Cunningham number, because it is equal to 99905²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9981009024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 591099 + ... + 607749.

It is an arithmetic number, because the mean of its divisors is an integer number (237790560).

Almost surely, 2^9981009024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9981009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15218595840).

9981009024 is an abundant number, since it is smaller than the sum of its proper divisors (20456182656).

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

9981009024 is a wasteful number, since it uses less digits than its factorization.

9981009024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16898 (or 16886 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 9981009024 is about 99904.9999949952. Note that the first 5 decimals coincide. The cubic root of 9981009024 is about 2153.0699985231.

The spelling of 9981009024 in words is "nine billion, nine hundred eighty-one million, nine thousand, twenty-four".