2071792944 has 160 divisors (see below), whose sum is σ = 6625617600. Its totient is φ = 615444480.

The previous prime is 2071792871. The next prime is 2071792967. The reversal of 2071792944 is 4492971702.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2071792944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156504 + ... + 169224.

It is an arithmetic number, because the mean of its divisors is an integer number (41410110).

Almost surely, 2^2071792944 is an apocalyptic number.

2071792944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071792944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312808800).

2071792944 is an abundant number, since it is smaller than the sum of its proper divisors (4553824656).

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

2071792944 is a wasteful number, since it uses less digits than its factorization.

2071792944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2071792944 is about 45516.9522705552. The cubic root of 2071792944 is about 1274.8197502974.

The spelling of 2071792944 in words is "two billion, seventy-one million, seven hundred ninety-two thousand, nine hundred forty-four".