2004617663 has 8 divisors (see below), whose sum is σ = 2075714400. Its totient is φ = 1933652448.

The previous prime is 2004617651. The next prime is 2004617669. The reversal of 2004617663 is 3667164002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004617663 - 2¹⁸ = 2004355519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004617669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331 + ... + 63332.

It is an arithmetic number, because the mean of its divisors is an integer number (259464300).

Almost surely, 2^2004617663 is an apocalyptic number.

2004617663 is a deficient number, since it is larger than the sum of its proper divisors (71096737).

2004617663 is a wasteful number, since it uses less digits than its factorization.

2004617663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65761.

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 2004617663 is about 44772.9568266381. The cubic root of 2004617663 is about 1260.8899530681.

The spelling of 2004617663 in words is "two billion, four million, six hundred seventeen thousand, six hundred sixty-three".