2587120 has 40 divisors (see below), whose sum is σ = 6111216. Its totient is φ = 1018368.

The previous prime is 2587103. The next prime is 2587121. The reversal of 2587120 is 217852.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587121) 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, 5619 + ... + 6061.

2^2587120 is an apocalyptic number.

2587120 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 2587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055608).

2587120 is an abundant number, since it is smaller than the sum of its proper divisors (3524096).

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

2587120 is a wasteful number, since it uses less digits than its factorization.

2587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2587120 is about 1608.4526726018. The cubic root of 2587120 is about 137.2794480737.

The spelling of 2587120 in words is "two million, five hundred eighty-seven thousand, one hundred twenty".