2971008 has 48 divisors (see below), whose sum is σ = 8552700. Its totient is φ = 989952.

The previous prime is 2970991. The next prime is 2971019. The reversal of 2971008 is 8001792.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138 + ... + 2441.

2^2971008 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 2971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276350).

2971008 is an abundant number, since it is smaller than the sum of its proper divisors (5581692).

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

2971008 is a wasteful number, since it uses less digits than its factorization.

2971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2971008 is about 1723.6612196136. The cubic root of 2971008 is about 143.7588556611.

The spelling of 2971008 in words is "two million, nine hundred seventy-one thousand, eight".