2004364416 has 128 divisors (see below), whose sum is σ = 5627217600. Its totient is φ = 632125440.

The previous prime is 2004364409. The next prime is 2004364433. The reversal of 2004364416 is 6144634002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2633476 + ... + 2634236.

Almost surely, 2^2004364416 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 2004364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813608800).

2004364416 is an abundant number, since it is smaller than the sum of its proper divisors (3622853184).

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

2004364416 is an frugal number, since it uses more digits than its factorization.

2004364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2004364416 is about 44770.1286127257. The cubic root of 2004364416 is about 1260.8368539907.

Adding to 2004364416 its reverse (6144634002), we get a palindrome (8148998418).

The spelling of 2004364416 in words is "two billion, four million, three hundred sixty-four thousand, four hundred sixteen".