2009088 has 72 divisors (see below), whose sum is σ = 5855850. Its totient is φ = 663552.

The previous prime is 2009083. The next prime is 2009093. The reversal of 2009088 is 8809002.

It is an interprime number because it is at equal distance from previous prime (2009083) and next prime (2009093).

It can be written as a sum of positive squares in only one way, i.e., 1557504 + 451584 = 1248^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2009083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18378 + ... + 18486.

2^2009088 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 2009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927925).

2009088 is an abundant number, since it is smaller than the sum of its proper divisors (3846762).

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

2009088 is a wasteful number, since it uses less digits than its factorization.

2009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2009088 is about 1417.4230137824. The cubic root of 2009088 is about 126.1826527057.

The spelling of 2009088 in words is "two million, nine thousand, eighty-eight".