2587667852 has 108 divisors (see below), whose sum is σ = 6106031064. Its totient is φ = 948648960.

The previous prime is 2587667833. The next prime is 2587667881.

It is a happy number.

2587667852 is nontrivially palindromic in base 10.

2587667852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621008 + ... + 625160.

Almost surely, 2^2587667852 is an apocalyptic number.

2587667852 is a gapful number since it is divisible by the number (22) 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 2587667852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053015532).

2587667852 is an abundant number, since it is smaller than the sum of its proper divisors (3518363212).

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

2587667852 is a wasteful number, since it uses less digits than its factorization.

2587667852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4190 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

The square root of 2587667852 is about 50869.1247418314. The cubic root of 2587667852 is about 1372.8913754974.

The spelling of 2587667852 in words is "two billion, five hundred eighty-seven million, six hundred sixty-seven thousand, eight hundred fifty-two".