2587880 has 32 divisors (see below), whose sum is σ = 6013440. Its totient is φ = 1001280.

The previous prime is 2587877. The next prime is 2587889. The reversal of 2587880 is 887852.

It is not an unprimeable number, because it can be changed into a prime (2587889) 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 7 ways as a sum of consecutive naturals, for example, 197 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (187920).

2^2587880 is an apocalyptic number.

2587880 is a gapful number since it is divisible by the number (20) 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 2587880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006720).

2587880 is an abundant number, since it is smaller than the sum of its proper divisors (3425560).

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

2587880 is a wasteful number, since it uses less digits than its factorization.

2587880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 2587880 is about 1608.6889071539. The cubic root of 2587880 is about 137.2928892961.

It can be divided in two parts, 25 and 87880, that multiplied together give a cube (2197000 = 130³).

The spelling of 2587880 in words is "two million, five hundred eighty-seven thousand, eight hundred eighty".