2005416 has 96 divisors (see below), whose sum is σ = 6514560. Its totient is φ = 544896.

The previous prime is 2005397. The next prime is 2005417. The reversal of 2005416 is 6145002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2005417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11506 + ... + 11678.

It is an arithmetic number, because the mean of its divisors is an integer number (67860).

2^2005416 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 2005416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257280).

2005416 is an abundant number, since it is smaller than the sum of its proper divisors (4509144).

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

2005416 is a wasteful number, since it uses less digits than its factorization.

2005416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005416 is about 1416.1271129387. The cubic root of 2005416 is about 126.1057313578.

The spelling of 2005416 in words is "two million, five thousand, four hundred sixteen".