2019817872 has 120 divisors (see below), whose sum is σ = 6000653880. Its totient is φ = 632033280.

The previous prime is 2019817861. The next prime is 2019817873. The reversal of 2019817872 is 2787189102.

2019817872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1142710416 + 877107456 = 33804^2 + 29616^2 .

It is not an unprimeable number, because it can be changed into a prime (2019817873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245222 + ... + 1246842.

It is an arithmetic number, because the mean of its divisors is an integer number (50005449).

Almost surely, 2^2019817872 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 2019817872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000326940).

2019817872 is an abundant number, since it is smaller than the sum of its proper divisors (3980836008).

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

2019817872 is a wasteful number, since it uses less digits than its factorization.

2019817872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 2019817872 is about 44942.3839154088. The cubic root of 2019817872 is about 1264.0688720952.

The spelling of 2019817872 in words is "two billion, nineteen million, eight hundred seventeen thousand, eight hundred seventy-two".