2042041000000 has 147 divisors (see below), whose sum is σ = 5068701076827. Its totient is φ = 816244800000.

The previous prime is 2042040999953. The next prime is 2042041000007. The reversal of 2042041000000 is 1402402.

The square root of 2042041000000 is 1429000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 693915656256 + 1348125343744 = 833016^2 + 1161088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2042041000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1428999286 + ... + 1429000714.

Almost surely, 2^{2042041000000} is an apocalyptic number.

2042041000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2042041000000 is the 1429000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042041000000

2042041000000 is an abundant number, since it is smaller than the sum of its proper divisors (3026660076827).

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

2042041000000 is an frugal number, since it uses more digits than its factorization.

2042041000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Multiplying 2042041000000 by its product of nonzero digits (64), we get a square (130690624000000 = 11432000²).

2042041000000 divided by its product of nonzero digits (64) gives a square (31906890625 = 178625²).

Adding to 2042041000000 its reverse (1402402), we get a palindrome (2042042402402).

The spelling of 2042041000000 in words is "two trillion, forty-two billion, forty-one million", and thus it is an aban number and an uban number.