2034130002432 has 160 divisors (see below), whose sum is σ = 5964011760960. Its totient is φ = 610947563520.

The previous prime is 2034130002431. The next prime is 2034130002473. The reversal of 2034130002432 is 2342000314302.

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

It is not an unprimeable number, because it can be changed into a prime (2034130002431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376544 + ... + 2441952.

It is an arithmetic number, because the mean of its divisors is an integer number (37275073506).

Almost surely, 2^{2034130002432} is an apocalyptic number.

2034130002432 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 2034130002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982005880480).

2034130002432 is an abundant number, since it is smaller than the sum of its proper divisors (3929881758528).

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

2034130002432 is a wasteful number, since it uses less digits than its factorization.

2034130002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065554 (or 1065538 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2034130002432 its reverse (2342000314302), we get a palindrome (4376130316734).

The spelling of 2034130002432 in words is "two trillion, thirty-four billion, one hundred thirty million, two thousand, four hundred thirty-two".