2904201216 has 480 divisors, whose sum is σ = 10322151840. Its totient is φ = 796262400.

The previous prime is 2904201199. The next prime is 2904201217. The reversal of 2904201216 is 6121024092.

2904201216 is a `hidden beast` number, since 29 + 0 + 420 + 1 + 216 = 666.

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 2904201216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904201217) 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 39 ways as a sum of consecutive naturals, for example, 47609826 + ... + 47609886.

It is an arithmetic number, because the mean of its divisors is an integer number (21504483).

Almost surely, 2^2904201216 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 2904201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161075920).

2904201216 is an abundant number, since it is smaller than the sum of its proper divisors (7417950624).

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

2904201216 is an equidigital number, since it uses as much as digits as its factorization.

2904201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2904201216 is about 53890.6412654368. The cubic root of 2904201216 is about 1426.7314488105.

The spelling of 2904201216 in words is "two billion, nine hundred four million, two hundred one thousand, two hundred sixteen".