2071920816 has 160 divisors (see below), whose sum is σ = 7154700800. Its totient is φ = 560805120.

The previous prime is 2071920803. The next prime is 2071920817. The reversal of 2071920816 is 6180291702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2071920817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39426 + ... + 75486.

It is an arithmetic number, because the mean of its divisors is an integer number (44716880).

Almost surely, 2^2071920816 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 2071920816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577350400).

2071920816 is an abundant number, since it is smaller than the sum of its proper divisors (5082779984).

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

2071920816 is a wasteful number, since it uses less digits than its factorization.

2071920816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36104 (or 36092 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2071920816 is about 45518.3569123491. The cubic root of 2071920816 is about 1274.8459772422.

The spelling of 2071920816 in words is "two billion, seventy-one million, nine hundred twenty thousand, eight hundred sixteen".