2585820 has 48 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 678720.

The previous prime is 2585813. The next prime is 2585827. The reversal of 2585820 is 285852.

It is an interprime number because it is at equal distance from previous prime (2585813) and next prime (2585827).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585827) 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, 3957 + ... + 4563.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

2^2585820 is an apocalyptic number.

2585820 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 2585820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2585820 is an abundant number, since it is smaller than the sum of its proper divisors (4768548).

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

2585820 is a wasteful number, since it uses less digits than its factorization.

2585820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2585820 is about 1608.0485067311. The cubic root of 2585820 is about 137.2564504054.

Subtracting from 2585820 its reverse (285852), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 25858 and 20, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 2585820 in words is "two million, five hundred eighty-five thousand, eight hundred twenty".