2041242102400 has 48 divisors (see below), whose sum is σ = 5042505888990. Its totient is φ = 816496839680.

The previous prime is 2041242102391. The next prime is 2041242102401. The reversal of 2041242102400 is 42012421402.

It can be written as a sum of positive squares in 3 ways, for example, as 1822435200576 + 218806901824 = 1349976^2 + 467768^2 .

It is a super-2 number, since 2×2041242102400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2041242102401) 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 5 ways as a sum of consecutive naturals, for example, 318940879 + ... + 318947278.

Almost surely, 2^{2041242102400} is an apocalyptic number.

2041242102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041242102400 is an abundant number, since it is smaller than the sum of its proper divisors (3001263786590).

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

2041242102400 is an equidigital number, since it uses as much as digits as its factorization.

2041242102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637888181 (or 637888164 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2041242102400 its reverse (42012421402), we get a palindrome (2083254523802).

The spelling of 2041242102400 in words is "two trillion, forty-one billion, two hundred forty-two million, one hundred two thousand, four hundred".