2004261216 has 48 divisors (see below), whose sum is σ = 5489938944. Its totient is φ = 639039104.

The previous prime is 2004261199. The next prime is 2004261229. The reversal of 2004261216 is 6121624002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451656 + ... + 456071.

It is an arithmetic number, because the mean of its divisors is an integer number (114373728).

Almost surely, 2^2004261216 is an apocalyptic number.

It is an amenable number.

2004261216 is an abundant number, since it is smaller than the sum of its proper divisors (3485677728).

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

2004261216 is a wasteful number, since it uses less digits than its factorization.

2004261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907763 (or 907755 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2004261216 is about 44768.9760436845. The cubic root of 2004261216 is about 1260.8152144466.

Adding to 2004261216 its reverse (6121624002), we get a palindrome (8125885218).

The spelling of 2004261216 in words is "two billion, four million, two hundred sixty-one thousand, two hundred sixteen".