2004110034432 has 320 divisors, whose sum is σ = 5862154940928. Its totient is φ = 603389952000.

The previous prime is 2004110034431. The next prime is 2004110034439. The reversal of 2004110034432 is 2344300114002.

It is a super-2 number, since 2×2004110034432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004110034431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3031936182 + ... + 3031936842.

Almost surely, 2^{2004110034432} is an apocalyptic number.

2004110034432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004110034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931077470464).

2004110034432 is an abundant number, since it is smaller than the sum of its proper divisors (3858044906496).

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

2004110034432 is a wasteful number, since it uses less digits than its factorization.

2004110034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2004110034432 its reverse (2344300114002), we get a palindrome (4348410148434).

The spelling of 2004110034432 in words is "two trillion, four billion, one hundred ten million, thirty-four thousand, four hundred thirty-two".