2004503322432 has 112 divisors (see below), whose sum is σ = 5720780999360. Its totient is φ = 615773380608.

The previous prime is 2004503322421. The next prime is 2004503322559. The reversal of 2004503322432 is 2342233054002.

It is a happy number.

It is a super-3 number, since 3×2004503322432³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004503322432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896328 + ... + 2193720.

It is an arithmetic number, because the mean of its divisors is an integer number (51078401780).

Almost surely, 2^{2004503322432} 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 2004503322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860390499680).

2004503322432 is an abundant number, since it is smaller than the sum of its proper divisors (3716277676928).

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

2004503322432 is a wasteful number, since it uses less digits than its factorization.

2004503322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298040 (or 1298030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 2004503322432 its reverse (2342233054002), we get a palindrome (4346736376434).

The spelling of 2004503322432 in words is "two trillion, four billion, five hundred three million, three hundred twenty-two thousand, four hundred thirty-two".