2003434034432 has 72 divisors (see below), whose sum is σ = 4182212865600. Its totient is φ = 956028846080.

The previous prime is 2003434034417. The next prime is 2003434034443. The reversal of 2003434034432 is 2344304343002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2264807 + ... + 3022617.

It is an arithmetic number, because the mean of its divisors is an integer number (58086289800).

Almost surely, 2^{2003434034432} 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 2003434034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091106432800).

2003434034432 is an abundant number, since it is smaller than the sum of its proper divisors (2178778831168).

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

2003434034432 is an equidigital number, since it uses as much as digits as its factorization.

2003434034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758299 (or 758285 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 2003434034432 its reverse (2344304343002), we get a palindrome (4347738377434).

The spelling of 2003434034432 in words is "two trillion, three billion, four hundred thirty-four million, thirty-four thousand, four hundred thirty-two".