2604418220041 has 27 divisors (see below), whose sum is σ = 2965411785063. Its totient is φ = 2285557853040.

The previous prime is 2604418219967. The next prime is 2604418220137. The reversal of 2604418220041 is 1400228144062.

The square root of 2604418220041 is 1613821.

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

It can be written as a sum of positive squares in only one way, i.e., 1365693739641 + 1238724480400 = 1168629^2 + 1112980^2 .

It is not a de Polignac number, because 2604418220041 - 2⁷ = 2604418219913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2604418219979 and 2604418220006.

It is not an unprimeable number, because it can be changed into a prime (2604418220641) 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 26 ways as a sum of consecutive naturals, for example, 514806370 + ... + 514811428.

Almost surely, 2^{2604418220041} is an apocalyptic number.

2604418220041 is the 1613821-st square number.

2604418220041 is the 806911-st centered octagonal number.

It is an amenable number.

2604418220041 is a deficient number, since it is larger than the sum of its proper divisors (360993565022).

2604418220041 is an frugal number, since it uses more digits than its factorization.

2604418220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 2604418220041 in words is "two trillion, six hundred four billion, four hundred eighteen million, two hundred twenty thousand, forty-one".