2671381536 has 96 divisors (see below), whose sum is σ = 7211812608. Its totient is φ = 865347840.

The previous prime is 2671381519. The next prime is 2671381541. The reversal of 2671381536 is 6351831762.

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

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 15 ways as a sum of consecutive naturals, for example, 869475 + ... + 872541.

It is an arithmetic number, because the mean of its divisors is an integer number (75123048).

Almost surely, 2^2671381536 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 2671381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605906304).

2671381536 is an abundant number, since it is smaller than the sum of its proper divisors (4540431072).

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

2671381536 is a wasteful number, since it uses less digits than its factorization.

2671381536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3326 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 2671381536 is about 51685.4093144284. The cubic root of 2671381536 is about 1387.5393444569.

The spelling of 2671381536 in words is "two billion, six hundred seventy-one million, three hundred eighty-one thousand, five hundred thirty-six".