2587872 has 48 divisors (see below), whose sum is σ = 7765632. Its totient is φ = 739200.

The previous prime is 2587861. The next prime is 2587877. The reversal of 2587872 is 2787852.

2587872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2587872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (161784).

2^2587872 is an apocalyptic number.

It is an amenable number.

2587872 is an abundant number, since it is smaller than the sum of its proper divisors (5177760).

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

2587872 is a wasteful number, since it uses less digits than its factorization.

2587872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3863 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 2587872 is about 1608.6864206551. The cubic root of 2587872 is about 137.2927478232.

The spelling of 2587872 in words is "two million, five hundred eighty-seven thousand, eight hundred seventy-two".