2009120 has 48 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 774144.

The previous prime is 2009113. The next prime is 2009167. The reversal of 2009120 is 219002.

It can be written as a sum of positive squares in 4 ways, for example, as 1227664 + 781456 = 1108^2 + 884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2009095 and 2009104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4424 + ... + 4856.

2^2009120 is an apocalyptic number.

2009120 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 2009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460780).

2009120 is an abundant number, since it is smaller than the sum of its proper divisors (2912440).

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

2009120 is a wasteful number, since it uses less digits than its factorization.

2009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2009120 is about 1417.4343018285. The cubic root of 2009120 is about 126.1833226321.

The spelling of 2009120 in words is "two million, nine thousand, one hundred twenty".