2671787584 has 56 divisors (see below), whose sum is σ = 5389107840. Its totient is φ = 1314034176.

The previous prime is 2671787557. The next prime is 2671787593. The reversal of 2671787584 is 4857871762.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1601919 + ... + 1603585.

Almost surely, 2^2671787584 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 2671787584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694553920).

2671787584 is an abundant number, since it is smaller than the sum of its proper divisors (2717320256).

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

2671787584 is a wasteful number, since it uses less digits than its factorization.

2671787584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2065 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 55.

The square root of 2671787584 is about 51689.3372369970. The cubic root of 2671787584 is about 1387.6096425436.

The spelling of 2671787584 in words is "two billion, six hundred seventy-one million, seven hundred eighty-seven thousand, five hundred eighty-four".