2004964512 has 96 divisors (see below), whose sum is σ = 5571558720. Its totient is φ = 629544960.

The previous prime is 2004964477. The next prime is 2004964519. The reversal of 2004964512 is 2154694002.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2004964519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327108 + ... + 333180.

It is an arithmetic number, because the mean of its divisors is an integer number (58037070).

Almost surely, 2^2004964512 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 2004964512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785779360).

2004964512 is an abundant number, since it is smaller than the sum of its proper divisors (3566594208).

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

2004964512 is a wasteful number, since it uses less digits than its factorization.

2004964512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2004964512 is about 44776.8300798527. The cubic root of 2004964512 is about 1260.9626707084.

The spelling of 2004964512 in words is "two billion, four million, nine hundred sixty-four thousand, five hundred twelve".