2004939890512 has 60 divisors (see below), whose sum is σ = 4207119832380. Its totient is φ = 925191880704.

The previous prime is 2004939890507. The next prime is 2004939890519. The reversal of 2004939890512 is 2150989394002.

It can be written as a sum of positive squares in 6 ways, for example, as 291574080576 + 1713365809936 = 539976^2 + 1308956^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 2004939890512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004939890519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15806608 + ... + 15932944.

It is an arithmetic number, because the mean of its divisors is an integer number (70118663873).

Almost surely, 2^{2004939890512} is an apocalyptic number.

It is an amenable number.

2004939890512 is an abundant number, since it is smaller than the sum of its proper divisors (2202179941868).

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

2004939890512 is a wasteful number, since it uses less digits than its factorization.

2004939890512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132240 (or 132221 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 2004939890512 in words is "two trillion, four billion, nine hundred thirty-nine million, eight hundred ninety thousand, five hundred twelve".