2042033240000 has 560 divisors, whose sum is σ = 5677825714176. Its totient is φ = 723340800000.

The previous prime is 2042033239963. The next prime is 2042033240063. The reversal of 2042033240000 is 423302402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2111719517 + ... + 2111720483.

Almost surely, 2^{2042033240000} is an apocalyptic number.

2042033240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042033240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838912857088).

2042033240000 is an abundant number, since it is smaller than the sum of its proper divisors (3635792474176).

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

2042033240000 is a wasteful number, since it uses less digits than its factorization.

2042033240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2042033240000 its reverse (423302402), we get a palindrome (2042456542402).

The spelling of 2042033240000 in words is "two trillion, forty-two billion, thirty-three million, two hundred forty thousand".