2041320400224 has 96 divisors (see below), whose sum is σ = 6131513961216. Its totient is φ = 582515089920.

The previous prime is 2041320400213. The next prime is 2041320400261. The reversal of 2041320400224 is 4220040231402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2041320400194 and 2041320400203.

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 15 ways as a sum of consecutive naturals, for example, 1327807 + ... + 2417790.

It is an arithmetic number, because the mean of its divisors is an integer number (63869937096).

Almost surely, 2^{2041320400224} is an apocalyptic number.

2041320400224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2041320400224 is an abundant number, since it is smaller than the sum of its proper divisors (4090193560992).

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

2041320400224 is a wasteful number, since it uses less digits than its factorization.

2041320400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746428 (or 3746420 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2041320400224 its reverse (4220040231402), we get a palindrome (6261360631626).

The spelling of 2041320400224 in words is "two trillion, forty-one billion, three hundred twenty million, four hundred thousand, two hundred twenty-four".