2134242210432 has 128 divisors (see below), whose sum is σ = 5916326497920. Its totient is φ = 680395161600.

The previous prime is 2134242210431. The next prime is 2134242210437. The reversal of 2134242210432 is 2340122424312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2134242210432.

It is not an unprimeable number, because it can be changed into a prime (2134242210431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126121332 + ... + 126138252.

It is an arithmetic number, because the mean of its divisors is an integer number (46221300765).

Almost surely, 2^{2134242210432} 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 2134242210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958163248960).

2134242210432 is an abundant number, since it is smaller than the sum of its proper divisors (3782084287488).

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

2134242210432 is a wasteful number, since it uses less digits than its factorization.

2134242210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31242 (or 31230 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2134242210432 its reverse (2340122424312), we get a palindrome (4474364634744).

The spelling of 2134242210432 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, two hundred ten thousand, four hundred thirty-two".