2004567948 has 36 divisors (see below), whose sum is σ = 5069112048. Its totient is φ = 667924320.

The previous prime is 2004567931. The next prime is 2004567949. The reversal of 2004567948 is 8497654002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2004567949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94918 + ... + 114098.

It is an arithmetic number, because the mean of its divisors is an integer number (140808668).

Almost surely, 2^2004567948 is an apocalyptic number.

It is an amenable number.

2004567948 is an abundant number, since it is smaller than the sum of its proper divisors (3064544100).

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

2004567948 is a wasteful number, since it uses less digits than its factorization.

2004567948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22094 (or 22089 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2004567948 is about 44772.4016331490. The cubic root of 2004567948 is about 1260.8795295240.

The spelling of 2004567948 in words is "two billion, four million, five hundred sixty-seven thousand, nine hundred forty-eight".