2042041344304 has 80 divisors (see below), whose sum is σ = 4367827128672. Its totient is φ = 919024164864.

The previous prime is 2042041344283. The next prime is 2042041344323. The reversal of 2042041344304 is 4034431402402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228704 + ... + 2365120.

Almost surely, 2^{2042041344304} 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 2042041344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183913564336).

2042041344304 is an abundant number, since it is smaller than the sum of its proper divisors (2325785784368).

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

2042041344304 is a wasteful number, since it uses less digits than its factorization.

2042041344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136654 (or 1136648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 2042041344304 its reverse (4034431402402), we get a palindrome (6076472746706).

The spelling of 2042041344304 in words is "two trillion, forty-two billion, forty-one million, three hundred forty-four thousand, three hundred four".