2971664 has 20 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 1466400.

The previous prime is 2971663. The next prime is 2971693. The reversal of 2971664 is 4661792.

2971664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2971663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

2^2971664 is an apocalyptic number.

It is an amenable number.

2971664 is a deficient number, since it is larger than the sum of its proper divisors (2861296).

2971664 is a wasteful number, since it uses less digits than its factorization.

2971664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 2971664 is about 1723.8515017251. The cubic root of 2971664 is about 143.7694355574.

The spelling of 2971664 in words is "two million, nine hundred seventy-one thousand, six hundred sixty-four".