2587136432 has 80 divisors (see below), whose sum is σ = 5459114880. Its totient is φ = 1183064064.

The previous prime is 2587136417. The next prime is 2587136437. The reversal of 2587136432 is 2346317852.

Its product of digits (241920) is a multiple of the sum of its prime divisors (1512).

It is a self number, because there is not a number n which added to its sum of digits gives 2587136432.

It is not an unprimeable number, because it can be changed into a prime (2587136437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2006444 + ... + 2007732.

It is an arithmetic number, because the mean of its divisors is an integer number (68238936).

Almost surely, 2^2587136432 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 2587136432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729557440).

2587136432 is an abundant number, since it is smaller than the sum of its proper divisors (2871978448).

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

2587136432 is a wasteful number, since it uses less digits than its factorization.

2587136432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 2587136432 is about 50863.9010694225. The cubic root of 2587136432 is about 1372.7973871488.

The spelling of 2587136432 in words is "two billion, five hundred eighty-seven million, one hundred thirty-six thousand, four hundred thirty-two".