2042134333020 has 144 divisors (see below), whose sum is σ = 6327097515648. Its totient is φ = 532912988160.

The previous prime is 2042134333009. The next prime is 2042134333039. The reversal of 2042134333020 is 203334312402.

2042134333020 is a `hidden beast` number, since 204 + 2 + 1 + 3 + 433 + 3 + 0 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110994462 + ... + 111012858.

It is an arithmetic number, because the mean of its divisors is an integer number (43938177192).

Almost surely, 2^{2042134333020} is an apocalyptic number.

2042134333020 is a gapful number since it is divisible by the number (20) 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 2042134333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163548757824).

2042134333020 is an abundant number, since it is smaller than the sum of its proper divisors (4284963182628).

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

2042134333020 is a wasteful number, since it uses less digits than its factorization.

2042134333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31580 (or 31575 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2042134333020 its reverse (203334312402), we get a palindrome (2245468645422).

The spelling of 2042134333020 in words is "two trillion, forty-two billion, one hundred thirty-four million, three hundred thirty-three thousand, twenty".