2587381668 has 36 divisors (see below), whose sum is σ = 6591836160. Its totient is φ = 855668016.

The previous prime is 2587381651. The next prime is 2587381703. The reversal of 2587381668 is 8661837852.

2587381668 is a `hidden beast` number, since 258 + 7 + 381 + 6 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278388 + ... + 287531.

It is an arithmetic number, because the mean of its divisors is an integer number (183106560).

Almost surely, 2^2587381668 is an apocalyptic number.

It is an amenable number.

2587381668 is an abundant number, since it is smaller than the sum of its proper divisors (4004454492).

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

2587381668 is a wasteful number, since it uses less digits than its factorization.

2587381668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566056 (or 566051 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2587381668 is about 50866.3117200373. The cubic root of 2587381668 is about 1372.8407618364.

The spelling of 2587381668 in words is "two billion, five hundred eighty-seven million, three hundred eighty-one thousand, six hundred sixty-eight".