2005641216 has 384 divisors, whose sum is σ = 6604416000. Its totient is φ = 598523904.

The previous prime is 2005641173. The next prime is 2005641241. The reversal of 2005641216 is 6121465002.

2005641216 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 641 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2005641216.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24164311 + ... + 24164393.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^2005641216 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 2005641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

2005641216 is an abundant number, since it is smaller than the sum of its proper divisors (4598774784).

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

2005641216 is a wasteful number, since it uses less digits than its factorization.

2005641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2005641216 is about 44784.3858504278. The cubic root of 2005641216 is about 1261.1045190214.

The spelling of 2005641216 in words is "two billion, five million, six hundred forty-one thousand, two hundred sixteen".