2671960608 has 120 divisors (see below), whose sum is σ = 7969389120. Its totient is φ = 878048640.

The previous prime is 2671960579. The next prime is 2671960609. The reversal of 2671960608 is 8060691762.

2671960608 is a `hidden beast` number, since 26 + 7 + 19 + 6 + 0 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (2671960609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176773 + ... + 191291.

It is an arithmetic number, because the mean of its divisors is an integer number (66411576).

Almost surely, 2^2671960608 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 2671960608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984694560).

2671960608 is an abundant number, since it is smaller than the sum of its proper divisors (5297428512).

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

2671960608 is a wasteful number, since it uses less digits than its factorization.

2671960608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2671960608 is about 51691.0109013163. The cubic root of 2671960608 is about 1387.6395955970.

The spelling of 2671960608 in words is "two billion, six hundred seventy-one million, nine hundred sixty thousand, six hundred eight".