2982113560032 has 96 divisors (see below), whose sum is σ = 7909297643520. Its totient is φ = 983729779200.

The previous prime is 2982113559991. The next prime is 2982113560039. The reversal of 2982113560032 is 2300653112892.

2982113560032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982113560039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20706769 + ... + 20850287.

It is an arithmetic number, because the mean of its divisors is an integer number (82388517120).

Almost surely, 2^{2982113560032} 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 2982113560032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954648821760).

2982113560032 is an abundant number, since it is smaller than the sum of its proper divisors (4927184083488).

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

2982113560032 is a wasteful number, since it uses less digits than its factorization.

2982113560032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145776 (or 145768 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 2982113560032 in words is "two trillion, nine hundred eighty-two billion, one hundred thirteen million, five hundred sixty thousand, thirty-two".