2009281 has 8 divisors (see below), whose sum is σ = 2142504. Its totient is φ = 1877760.

The previous prime is 2009251. The next prime is 2009299. The reversal of 2009281 is 1829002.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 2002225 = 84^2 + 1415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2009281 - 2¹⁷ = 1878209 is a prime.

It is a super-2 number, since 2×2009281² = 8074420273922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2009251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2751 + ... + 3403.

It is an arithmetic number, because the mean of its divisors is an integer number (267813).

2^2009281 is an apocalyptic number.

2009281 is the 897-th centered pentagonal number.

It is an amenable number.

2009281 is a deficient number, since it is larger than the sum of its proper divisors (133223).

2009281 is a wasteful number, since it uses less digits than its factorization.

2009281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2009281 is about 1417.4910934464. The cubic root of 2009281 is about 126.1866930915.

The spelling of 2009281 in words is "two million, nine thousand, two hundred eighty-one".