2085288 has 64 divisors (see below), whose sum is σ = 5832000. Its totient is φ = 617472.

The previous prime is 2085287. The next prime is 2085289. The reversal of 2085288 is 8825802.

It is an interprime number because it is at equal distance from previous prime (2085287) and next prime (2085289).

It is not an unprimeable number, because it can be changed into a prime (2085287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618 + ... + 7886.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

2^2085288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916000).

2085288 is an abundant number, since it is smaller than the sum of its proper divisors (3746712).

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

2085288 is a wasteful number, since it uses less digits than its factorization.

2085288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2085288 is about 1444.0526306198. The cubic root of 2085288 is about 127.7581697000.

The spelling of 2085288 in words is "two million, eighty-five thousand, two hundred eighty-eight".