2731385584 has 80 divisors (see below), whose sum is σ = 5765603200. Its totient is φ = 1249074432.

The previous prime is 2731385567. The next prime is 2731385609. The reversal of 2731385584 is 4855831372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1562599 + ... + 1564345.

It is an arithmetic number, because the mean of its divisors is an integer number (72070040).

Almost surely, 2^2731385584 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 2731385584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882801600).

2731385584 is an abundant number, since it is smaller than the sum of its proper divisors (3034217616).

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

2731385584 is a wasteful number, since it uses less digits than its factorization.

2731385584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1944 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The square root of 2731385584 is about 52262.6595572786. The cubic root of 2731385584 is about 1397.8513953420.

The spelling of 2731385584 in words is "two billion, seven hundred thirty-one million, three hundred eighty-five thousand, five hundred eighty-four".