2972008 has 48 divisors (see below), whose sum is σ = 6512940. Its totient is φ = 1259520.

The previous prime is 2971993. The next prime is 2972027. The reversal of 2972008 is 8002792.

2972008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 88804 + 2883204 = 298^2 + 1698^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72468 + ... + 72508.

2^2972008 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 2972008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256470).

2972008 is an abundant number, since it is smaller than the sum of its proper divisors (3540932).

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

2972008 is a wasteful number, since it uses less digits than its factorization.

2972008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2972008 is about 1723.9512754135. The cubic root of 2972008 is about 143.7749829294.

The spelling of 2972008 in words is "two million, nine hundred seventy-two thousand, eight".