2042033243120 has 80 divisors (see below), whose sum is σ = 5114229230880. Its totient is φ = 753790958592.

The previous prime is 2042033243083. The next prime is 2042033243167. The reversal of 2042033243120 is 213423302402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2042033243120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3902447 + ... + 4394673.

It is an arithmetic number, because the mean of its divisors is an integer number (63927865386).

Almost surely, 2^{2042033243120} is an apocalyptic number.

2042033243120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042033243120 is an abundant number, since it is smaller than the sum of its proper divisors (3072195987760).

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

2042033243120 is a wasteful number, since it uses less digits than its factorization.

2042033243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496242 (or 496236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2042033243120 its reverse (213423302402), we get a palindrome (2255456545522).

The spelling of 2042033243120 in words is "two trillion, forty-two billion, thirty-three million, two hundred forty-three thousand, one hundred twenty".