2005216 has 24 divisors (see below), whose sum is σ = 3979584. Its totient is φ = 994560.

The previous prime is 2005207. The next prime is 2005229. The reversal of 2005216 is 6125002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2005216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6996 + ... + 7276.

It is an arithmetic number, because the mean of its divisors is an integer number (165816).

2^2005216 is an apocalyptic number.

It is an amenable number.

2005216 is a deficient number, since it is larger than the sum of its proper divisors (1974368).

2005216 is a wasteful number, since it uses less digits than its factorization.

2005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2005216 is about 1416.0564960481. The cubic root of 2005216 is about 126.1015390465.

The spelling of 2005216 in words is "two million, five thousand, two hundred sixteen".