2009916 has 36 divisors (see below), whose sum is σ = 5247424. Its totient is φ = 648000.

The previous prime is 2009911. The next prime is 2009921. The reversal of 2009916 is 6199002.

2009916 = T₂₂₃ + T₂₂₄ + ... + T₂₈₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2009911) and next prime (2009921).

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2009916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009911) 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 11 ways as a sum of consecutive naturals, for example, 216 + ... + 2016.

2^2009916 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 2009916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623712).

2009916 is an abundant number, since it is smaller than the sum of its proper divisors (3237508).

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

2009916 is a wasteful number, since it uses less digits than its factorization.

2009916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2009916 is about 1417.7150630504. The cubic root of 2009916 is about 126.1999847633.

The spelling of 2009916 in words is "two million, nine thousand, nine hundred sixteen".