2004960216 has 128 divisors (see below), whose sum is σ = 6039797760. Its totient is φ = 542505600.

The previous prime is 2004960203. The next prime is 2004960239. The reversal of 2004960216 is 6120694002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240681 + ... + 248871.

It is an arithmetic number, because the mean of its divisors is an integer number (47185920).

Almost surely, 2^2004960216 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 2004960216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019898880).

2004960216 is an abundant number, since it is smaller than the sum of its proper divisors (4034837544).

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

2004960216 is a wasteful number, since it uses less digits than its factorization.

2004960216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2004960216 is about 44776.7821085884. The cubic root of 2004960216 is about 1260.9617700940.

The spelling of 2004960216 in words is "two billion, four million, nine hundred sixty thousand, two hundred sixteen".