2042100424400 has 120 divisors (see below), whose sum is σ = 5095459405440. Its totient is φ = 785909985280.

The previous prime is 2042100424391. The next prime is 2042100424417. The reversal of 2042100424400 is 44240012402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188672 + ... + 2029728.

It is an arithmetic number, because the mean of its divisors is an integer number (42462161712).

Almost surely, 2^{2042100424400} is an apocalyptic number.

2042100424400 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 2042100424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547729702720).

2042100424400 is an abundant number, since it is smaller than the sum of its proper divisors (3053358981040).

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

2042100424400 is a wasteful number, since it uses less digits than its factorization.

2042100424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841181 (or 1841170 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2042100424400 its reverse (44240012402), we get a palindrome (2086340436802).

The spelling of 2042100424400 in words is "two trillion, forty-two billion, one hundred million, four hundred twenty-four thousand, four hundred".