2120512016 has 80 divisors (see below), whose sum is σ = 4885520640. Its totient is φ = 872363520.

The previous prime is 2120512007. The next prime is 2120512021. The reversal of 2120512016 is 6102150212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586085 + ... + 589691.

It is an arithmetic number, because the mean of its divisors is an integer number (61069008).

Almost surely, 2^2120512016 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 2120512016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442760320).

2120512016 is an abundant number, since it is smaller than the sum of its proper divisors (2765008624).

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

2120512016 is a wasteful number, since it uses less digits than its factorization.

2120512016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2120512016 is about 46049.0175356652. The cubic root of 2120512016 is about 1284.7350695076.

Adding to 2120512016 its reverse (6102150212), we get a palindrome (8222662228).

The spelling of 2120512016 in words is "two billion, one hundred twenty million, five hundred twelve thousand, sixteen".