2688227568 has 120 divisors (see below), whose sum is σ = 8355648240. Its totient is φ = 827124480.

The previous prime is 2688227567. The next prime is 2688227579. The reversal of 2688227568 is 8657228862.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5160960) is a multiple of the sum of its prime factors (36864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688227567) 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 23 ways as a sum of consecutive naturals, for example, 54598 + ... + 91418.

It is an arithmetic number, because the mean of its divisors is an integer number (69630402).

Almost surely, 2^2688227568 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 2688227568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177824120).

2688227568 is an abundant number, since it is smaller than the sum of its proper divisors (5667420672).

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

2688227568 is a wasteful number, since it uses less digits than its factorization.

2688227568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36864 (or 36839 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 2688227568 is about 51848.1201973611. The cubic root of 2688227568 is about 1390.4498945672.

The spelling of 2688227568 in words is "two billion, six hundred eighty-eight million, two hundred twenty-seven thousand, five hundred sixty-eight".