2042242402400 has 36 divisors (see below), whose sum is σ = 4985624266812. Its totient is φ = 816896960640.

The previous prime is 2042242402381. The next prime is 2042242402471. The reversal of 2042242402400 is 42042422402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042242402400.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1276400702 + ... + 1276402301.

It is an arithmetic number, because the mean of its divisors is an integer number (138489562967).

Almost surely, 2^{2042242402400} is an apocalyptic number.

2042242402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042242402400 is an abundant number, since it is smaller than the sum of its proper divisors (2943381864412).

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

2042242402400 is a wasteful number, since it uses less digits than its factorization.

2042242402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552803023 (or 2552803010 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2042242402400 its reverse (42042422402), we get a palindrome (2084284824802).

The spelling of 2042242402400 in words is "two trillion, forty-two billion, two hundred forty-two million, four hundred two thousand, four hundred".