2120404401 has 12 divisors (see below), whose sum is σ = 3063914100. Its totient is φ = 1413091680.

The previous prime is 2120404381. The next prime is 2120404417. The reversal of 2120404401 is 1044040212.

2120404401 is a `hidden beast` number, since 21 + 204 + 0 + 440 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1337803776 + 782600625 = 36576^2 + 27975^2 .

It is not a de Polignac number, because 2120404401 - 2⁹ = 2120403889 is a prime.

It is a super-2 number, since 2×2120404401² = 8992229647560337602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120404001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15426 + ... + 66923.

It is an arithmetic number, because the mean of its divisors is an integer number (255326175).

Almost surely, 2^2120404401 is an apocalyptic number.

It is an amenable number.

2120404401 is a deficient number, since it is larger than the sum of its proper divisors (943509699).

2120404401 is a wasteful number, since it uses less digits than its factorization.

2120404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85216 (or 85213 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120404401 is about 46047.8490377129. The cubic root of 2120404401 is about 1284.7133359039.

Adding to 2120404401 its reverse (1044040212), we get a palindrome (3164444613).

The spelling of 2120404401 in words is "two billion, one hundred twenty million, four hundred four thousand, four hundred one".