2042134331552 has 144 divisors (see below), whose sum is σ = 4734045751680. Its totient is φ = 864516989952.

The previous prime is 2042134331473. The next prime is 2042134331557. The reversal of 2042134331552 is 2551334312402.

It is not an unprimeable number, because it can be changed into a prime (2042134331557) 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 23 ways as a sum of consecutive naturals, for example, 153919223 + ... + 153932489.

It is an arithmetic number, because the mean of its divisors is an integer number (32875317720).

Almost surely, 2^{2042134331552} 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 2042134331552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367022875840).

2042134331552 is an abundant number, since it is smaller than the sum of its proper divisors (2691911420128).

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

2042134331552 is a wasteful number, since it uses less digits than its factorization.

2042134331552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 2042134331552 its reverse (2551334312402), we get a palindrome (4593468643954).

The spelling of 2042134331552 in words is "two trillion, forty-two billion, one hundred thirty-four million, three hundred thirty-one thousand, five hundred fifty-two".