2668567104 has 168 divisors, whose sum is σ = 8807305728. Its totient is φ = 756725760.

The previous prime is 2668567087. The next prime is 2668567117. The reversal of 2668567104 is 4017658662.

2668567104 is a `hidden beast` number, since 26 + 68 + 567 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 2668567104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549969 + ... + 554799.

Almost surely, 2^2668567104 is an apocalyptic number.

2668567104 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 2668567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403652864).

2668567104 is an abundant number, since it is smaller than the sum of its proper divisors (6138738624).

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

2668567104 is a wasteful number, since it uses less digits than its factorization.

2668567104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2668567104 is about 51658.1755775405. The cubic root of 2668567104 is about 1387.0518928892.

The spelling of 2668567104 in words is "two billion, six hundred sixty-eight million, five hundred sixty-seven thousand, one hundred four".