2071872096 has 144 divisors (see below), whose sum is σ = 6474371904. Its totient is φ = 578140416.

The previous prime is 2071872079. The next prime is 2071872097. The reversal of 2071872096 is 6902781702.

2071872096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071872097) 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, 197151 + ... + 207393.

It is an arithmetic number, because the mean of its divisors is an integer number (44960916).

Almost surely, 2^2071872096 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 2071872096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237185952).

2071872096 is an abundant number, since it is smaller than the sum of its proper divisors (4402499808).

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

2071872096 is a wasteful number, since it uses less digits than its factorization.

2071872096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 2071872096 is about 45517.8217405007. The cubic root of 2071872096 is about 1274.8359847460.

The spelling of 2071872096 in words is "two billion, seventy-one million, eight hundred seventy-two thousand, ninety-six".