2668388688 has 180 divisors, whose sum is σ = 8798811840. Its totient is φ = 752588928.

The previous prime is 2668388651. The next prime is 2668388717. The reversal of 2668388688 is 8868838662.

It is a super-2 number, since 2×2668388688² = 14240596380492722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 555031 + ... + 559817.

It is an arithmetic number, because the mean of its divisors is an integer number (48882288).

Almost surely, 2^2668388688 is an apocalyptic number.

2668388688 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 2668388688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399405920).

2668388688 is an abundant number, since it is smaller than the sum of its proper divisors (6130423152).

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

2668388688 is a wasteful number, since it uses less digits than its factorization.

2668388688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4878 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The square root of 2668388688 is about 51656.4486584202. The cubic root of 2668388688 is about 1387.0209801988.

The spelling of 2668388688 in words is "two billion, six hundred sixty-eight million, three hundred eighty-eight thousand, six hundred eighty-eight".