2668087584 has 144 divisors (see below), whose sum is σ = 7962095232. Its totient is φ = 845881344.

The previous prime is 2668087579. The next prime is 2668087651. The reversal of 2668087584 is 4857808662.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2668087584.

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, 1277389 + ... + 1279475.

It is an arithmetic number, because the mean of its divisors is an integer number (55292328).

Almost surely, 2^2668087584 is an apocalyptic number.

2668087584 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 2668087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981047616).

2668087584 is an abundant number, since it is smaller than the sum of its proper divisors (5294007648).

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

2668087584 is a wasteful number, since it uses less digits than its factorization.

2668087584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2308 counting only the distinct ones).

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

The square root of 2668087584 is about 51653.5340901279. The cubic root of 2668087584 is about 1386.9688072306.

The spelling of 2668087584 in words is "two billion, six hundred sixty-eight million, eighty-seven thousand, five hundred eighty-four".