2972671008 has 96 divisors (see below), whose sum is σ = 7943221440. Its totient is φ = 973209600.

The previous prime is 2972671001. The next prime is 2972671019. The reversal of 2972671008 is 8001762792.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2972671001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3865248 + ... + 3866016.

It is an arithmetic number, because the mean of its divisors is an integer number (82741890).

Almost surely, 2^2972671008 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 2972671008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971610720).

2972671008 is an abundant number, since it is smaller than the sum of its proper divisors (4970550432).

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

2972671008 is a wasteful number, since it uses less digits than its factorization.

2972671008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 2972671008 is about 54522.2065584290. The cubic root of 2972671008 is about 1437.8567344310.

The spelling of 2972671008 in words is "two billion, nine hundred seventy-two million, six hundred seventy-one thousand, eight".