2731981824 has 352 divisors, whose sum is σ = 9519041280. Its totient is φ = 763084800.

The previous prime is 2731981789. The next prime is 2731981829. The reversal of 2731981824 is 4281891372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 2731981824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731981829) 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 31 ways as a sum of consecutive naturals, for example, 3953319 + ... + 3954009.

Almost surely, 2^2731981824 is an apocalyptic number.

2731981824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759520640).

2731981824 is an abundant number, since it is smaller than the sum of its proper divisors (6787059456).

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

2731981824 is a wasteful number, since it uses less digits than its factorization.

2731981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 720 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 2731981824 is about 52268.3635098709. The cubic root of 2731981824 is about 1397.9531012652.

The spelling of 2731981824 in words is "two billion, seven hundred thirty-one million, nine hundred eighty-one thousand, eight hundred twenty-four".