2668605984 has 288 divisors, whose sum is σ = 8849917440. Its totient is φ = 754790400.

The previous prime is 2668605971. The next prime is 2668606009. The reversal of 2668605984 is 4895068662.

It is a happy number.

2668605984 is a `hidden beast` number, since 26 + 6 + 8 + 605 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2668605984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2847564 + ... + 2848500.

It is an arithmetic number, because the mean of its divisors is an integer number (30728880).

Almost surely, 2^2668605984 is an apocalyptic number.

2668605984 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 2668605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424958720).

2668605984 is an abundant number, since it is smaller than the sum of its proper divisors (6181311456).

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

2668605984 is a wasteful number, since it uses less digits than its factorization.

2668605984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2668605984 is about 51658.5518960801. The cubic root of 2668605984 is about 1387.0586291280.

The spelling of 2668605984 in words is "two billion, six hundred sixty-eight million, six hundred five thousand, nine hundred eighty-four".