2971293696 has 144 divisors (see below), whose sum is σ = 9808016400. Its totient is φ = 848904192.

The previous prime is 2971293691. The next prime is 2971293707. The reversal of 2971293696 is 6963921792.

2971293696 is a `hidden beast` number, since 297 + 1 + 293 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971293691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117510 + ... + 140538.

It is an arithmetic number, because the mean of its divisors is an integer number (68111225).

Almost surely, 2^2971293696 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 2971293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904008200).

2971293696 is an abundant number, since it is smaller than the sum of its proper divisors (6836722704).

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

2971293696 is a wasteful number, since it uses less digits than its factorization.

2971293696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23064 (or 23041 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 2971293696 is about 54509.5743516678. The cubic root of 2971293696 is about 1437.6346352637.

The spelling of 2971293696 in words is "two billion, nine hundred seventy-one million, two hundred ninety-three thousand, six hundred ninety-six".