2042342312010 has 768 divisors, whose sum is σ = 6819484815360. Its totient is φ = 377911296000.

The previous prime is 2042342311993. The next prime is 2042342312039. The reversal of 2042342312010 is 102132432402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18073825714 + ... + 18073825826.

It is an arithmetic number, because the mean of its divisors is an integer number (8879537520).

Almost surely, 2^{2042342312010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042342312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409742407680).

2042342312010 is an abundant number, since it is smaller than the sum of its proper divisors (4777142503350).

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

2042342312010 is a wasteful number, since it uses less digits than its factorization.

2042342312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2042342312010 its reverse (102132432402), we get a palindrome (2144474744412).

The spelling of 2042342312010 in words is "two trillion, forty-two billion, three hundred forty-two million, three hundred twelve thousand, ten".