2005016 has 24 divisors (see below), whose sum is σ = 4073580. Its totient is φ = 924768.

The previous prime is 2005001. The next prime is 2005019. The reversal of 2005016 is 6105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611 + ... + 2093.

2^2005016 is an apocalyptic number.

2005016 is a gapful number since it is divisible by the number (26) 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 2005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036790).

2005016 is an abundant number, since it is smaller than the sum of its proper divisors (2068564).

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

2005016 is a wasteful number, since it uses less digits than its factorization.

2005016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2005016 is about 1415.9858756358. The cubic root of 2005016 is about 126.0973464564.

Subtracting from 2005016 its sum of digits (14), we obtain a palindrome (2005002).

The spelling of 2005016 in words is "two million, five thousand, sixteen".