2936042016 has 96 divisors (see below), whose sum is σ = 7872137280. Its totient is φ = 957874176.

The previous prime is 2936042003. The next prime is 2936042017. The reversal of 2936042016 is 6102406392.

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

It is not an unprimeable number, because it can be changed into a prime (2936042017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454640 + ... + 1456656.

It is an arithmetic number, because the mean of its divisors is an integer number (82001430).

Almost surely, 2^2936042016 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 2936042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936068640).

2936042016 is an abundant number, since it is smaller than the sum of its proper divisors (4936095264).

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

2936042016 is a wasteful number, since it uses less digits than its factorization.

2936042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2936042016 is about 54185.2564449039. The cubic root of 2936042016 is about 1431.9265954904.

The spelling of 2936042016 in words is "two billion, nine hundred thirty-six million, forty-two thousand, sixteen".