2004015435604 has 144 divisors (see below), whose sum is σ = 4426889135760. Its totient is φ = 786776094720.

The previous prime is 2004015435557. The next prime is 2004015435641. The reversal of 2004015435604 is 4065345104002.

It can be written as a sum of positive squares in 8 ways, for example, as 43309772100 + 1960705663504 = 208110^2 + 1400252^2 .

It is a super-2 number, since 2×2004015435604² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004015435604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 234740424 + ... + 234748960.

It is an arithmetic number, because the mean of its divisors is an integer number (30742285665).

Almost surely, 2^{2004015435604} 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 2004015435604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213444567880).

2004015435604 is an abundant number, since it is smaller than the sum of its proper divisors (2422873700156).

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

2004015435604 is a wasteful number, since it uses less digits than its factorization.

2004015435604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2004015435604 in words is "two trillion, four billion, fifteen million, four hundred thirty-five thousand, six hundred four".