2042034334340 has 96 divisors (see below), whose sum is σ = 5757680081664. Its totient is φ = 587518364160.

The previous prime is 2042034334321. The next prime is 2042034334349. The reversal of 2042034334340 is 434334302402.

It is a junction number, because it is equal to n+sod(n) for n = 2042034334297 and 2042034334306.

It is not an unprimeable number, because it can be changed into a prime (2042034334349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50979839 + ... + 51019878.

It is an arithmetic number, because the mean of its divisors is an integer number (59975834184).

Almost surely, 2^{2042034334340} is an apocalyptic number.

2042034334340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042034334340 is an abundant number, since it is smaller than the sum of its proper divisors (3715645747324).

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

2042034334340 is a wasteful number, since it uses less digits than its factorization.

2042034334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101999757 (or 101999755 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 2042034334340 its reverse (434334302402), we get a palindrome (2476368636742).

The spelling of 2042034334340 in words is "two trillion, forty-two billion, thirty-four million, three hundred thirty-four thousand, three hundred forty".