2681603568 has 120 divisors (see below), whose sum is σ = 8639030400. Its totient is φ = 760620672.

The previous prime is 2681603543. The next prime is 2681603599. The reversal of 2681603568 is 8653061862.

2681603568 is a `hidden beast` number, since 2 + 6 + 81 + 6 + 0 + 3 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130543 + ... + 149681.

It is an arithmetic number, because the mean of its divisors is an integer number (71991920).

Almost surely, 2^2681603568 is an apocalyptic number.

2681603568 is a gapful number since it is divisible by the number (28) 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 2681603568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319515200).

2681603568 is an abundant number, since it is smaller than the sum of its proper divisors (5957426832).

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

2681603568 is a wasteful number, since it uses less digits than its factorization.

2681603568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19299 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2681603568 is about 51784.2019152560. The cubic root of 2681603568 is about 1389.3068966577.

The spelling of 2681603568 in words is "two billion, six hundred eighty-one million, six hundred three thousand, five hundred sixty-eight".