2587067648 has 72 divisors (see below), whose sum is σ = 5677299936. Its totient is φ = 1166796800.

The previous prime is 2587067629. The next prime is 2587067653. The reversal of 2587067648 is 8467607852.

It is a self number, because there is not a number n which added to its sum of digits gives 2587067648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365390 + ... + 372402.

It is an arithmetic number, because the mean of its divisors is an integer number (78851388).

Almost surely, 2^2587067648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838649968).

2587067648 is an abundant number, since it is smaller than the sum of its proper divisors (3090232288).

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

2587067648 is a wasteful number, since it uses less digits than its factorization.

2587067648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The square root of 2587067648 is about 50863.2249075892. The cubic root of 2587067648 is about 1372.7852208877.

The spelling of 2587067648 in words is "two billion, five hundred eighty-seven million, sixty-seven thousand, six hundred forty-eight".