2587840 has 28 divisors (see below), whose sum is σ = 6163056. Its totient is φ = 1035008.

The previous prime is 2587829. The next prime is 2587841. The reversal of 2587840 is 487852.

2587840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 5⁷ + 8⁵ + 7⁶ + 8⁷ + 4⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2587796 and 2587805.

It is not an unprimeable number, because it can be changed into a prime (2587841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3724 + ... + 4363.

2^2587840 is an apocalyptic number.

2587840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2587840 is an abundant number, since it is smaller than the sum of its proper divisors (3575216).

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

2587840 is an equidigital number, since it uses as much as digits as its factorization.

2587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2587840 is about 1608.6764746213. The cubic root of 2587840 is about 137.2921819289.

The spelling of 2587840 in words is "two million, five hundred eighty-seven thousand, eight hundred forty".