2971697664 has 160 divisors (see below), whose sum is σ = 8726566464. Its totient is φ = 892846080.

The previous prime is 2971697609. The next prime is 2971697669. The reversal of 2971697664 is 4667961792.

It is not an unprimeable number, because it can be changed into a prime (2971697669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856894 + ... + 860354.

Almost surely, 2^2971697664 is an apocalyptic number.

2971697664 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 2971697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363283232).

2971697664 is an abundant number, since it is smaller than the sum of its proper divisors (5754868800).

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

2971697664 is a wasteful number, since it uses less digits than its factorization.

2971697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3522 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The square root of 2971697664 is about 54513.2797032063. The cubic root of 2971697664 is about 1437.6997844468.

It can be divided in two parts, 297 and 1697664, that added together give a palindrome (1697961).

The spelling of 2971697664 in words is "two billion, nine hundred seventy-one million, six hundred ninety-seven thousand, six hundred sixty-four".