2971317888 has 768 divisors, whose sum is σ = 11762150400. Its totient is φ = 696729600.

The previous prime is 2971317883. The next prime is 2971317917. The reversal of 2971317888 is 8887131792.

It is a happy number.

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

Its product of digits (1354752) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971317883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69100395 + ... + 69100437.

It is an arithmetic number, because the mean of its divisors is an integer number (15315300).

Almost surely, 2^2971317888 is an apocalyptic number.

2971317888 is a gapful number since it is divisible by the number (28) 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 2971317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881075200).

2971317888 is an abundant number, since it is smaller than the sum of its proper divisors (8790832512).

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

2971317888 is a wasteful number, since it uses less digits than its factorization.

2971317888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 2971317888 is about 54509.7962571867. The cubic root of 2971317888 is about 1437.6385369495.

The spelling of 2971317888 in words is "two billion, nine hundred seventy-one million, three hundred seventeen thousand, eight hundred eighty-eight".