2681327616 has 208 divisors, whose sum is σ = 7926266880. Its totient is φ = 799375360.

The previous prime is 2681327599. The next prime is 2681327639. The reversal of 2681327616 is 6167231862.

It is a congruent number.

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, 11218825 + ... + 11219063.

Almost surely, 2^2681327616 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 2681327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963133440).

2681327616 is an abundant number, since it is smaller than the sum of its proper divisors (5244939264).

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

2681327616 is a wasteful number, since it uses less digits than its factorization.

2681327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2681327616 is about 51781.5374047546. The cubic root of 2681327616 is about 1389.2592392072.

The spelling of 2681327616 in words is "two billion, six hundred eighty-one million, three hundred twenty-seven thousand, six hundred sixteen".