2971293192 has 144 divisors (see below), whose sum is σ = 9551280960. Its totient is φ = 848835936.

The previous prime is 2971293187. The next prime is 2971293209. The reversal of 2971293192 is 2913921792.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363373 + ... + 371459.

It is an arithmetic number, because the mean of its divisors is an integer number (66328340).

Almost surely, 2^2971293192 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 2971293192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775640480).

2971293192 is an abundant number, since it is smaller than the sum of its proper divisors (6579987768).

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

2971293192 is an frugal number, since it uses more digits than its factorization.

2971293192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8099 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 2971293192 is about 54509.5697286266. The cubic root of 2971293192 is about 1437.6345539784.

The spelling of 2971293192 in words is "two billion, nine hundred seventy-one million, two hundred ninety-three thousand, one hundred ninety-two".