2042042201334 has 64 divisors (see below), whose sum is σ = 4550755968000. Its totient is φ = 678748805280.

The previous prime is 2042042201293. The next prime is 2042042201377. The reversal of 2042042201334 is 4331022402402.

2042042201334 is a `hidden beast` number, since 2 + 0 + 420 + 4 + 2 + 201 + 3 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2042042201298 and 2042042201307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201359904 + ... + 201370044.

It is an arithmetic number, because the mean of its divisors is an integer number (71105562000).

Almost surely, 2^{2042042201334} is an apocalyptic number.

2042042201334 is an abundant number, since it is smaller than the sum of its proper divisors (2508713766666).

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

2042042201334 is a wasteful number, since it uses less digits than its factorization.

2042042201334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042042201334 its reverse (4331022402402), we get a palindrome (6373064603736).

The spelling of 2042042201334 in words is "two trillion, forty-two billion, forty-two million, two hundred one thousand, three hundred thirty-four".