2034424330120 has 192 divisors, whose sum is σ = 5812952508720. Its totient is φ = 635041161216.

The previous prime is 2034424330073. The next prime is 2034424330121. The reversal of 2034424330120 is 210334244302.

It can be written as a sum of positive squares in 8 ways, for example, as 109506722724 + 1924917607396 = 330918^2 + 1387414^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2034424330121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313164 + ... + 2406916.

Almost surely, 2^{2034424330120} is an apocalyptic number.

2034424330120 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 2034424330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906476254360).

2034424330120 is an abundant number, since it is smaller than the sum of its proper divisors (3778528178600).

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

2034424330120 is a wasteful number, since it uses less digits than its factorization.

2034424330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093864 (or 1093853 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2034424330120 its reverse (210334244302), we get a palindrome (2244758574422).

The spelling of 2034424330120 in words is "two trillion, thirty-four billion, four hundred twenty-four million, three hundred thirty thousand, one hundred twenty".