2123366401 has 8 divisors (see below), whose sum is σ = 2329848360. Its totient is φ = 1923048192.

The previous prime is 2123366353. The next prime is 2123366429. The reversal of 2123366401 is 1046633212.

It is a Cunningham number, because it is equal to 46080²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 314140176 + 1809226225 = 17724^2 + 42535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2123366401 - 2²³ = 2114977793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2123366401.

It is not an unprimeable number, because it can be changed into a prime (2123366431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1540216 + ... + 1541593.

It is an arithmetic number, because the mean of its divisors is an integer number (291231045).

It is a Proth number, since it is equal to 2025 ⋅ 2²⁰ + 1 and 2025 < 2²⁰.

Almost surely, 2^2123366401 is an apocalyptic number.

It is an amenable number.

2123366401 is a deficient number, since it is larger than the sum of its proper divisors (206481959).

2123366401 is a wasteful number, since it uses less digits than its factorization.

2123366401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081875.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2123366401 is about 46080.0000108507. Note that the first 4 decimals coincide. The cubic root of 2123366401 is about 1285.3112643595.

Adding to 2123366401 its reverse (1046633212), we get a palindrome (3169999613).

The spelling of 2123366401 in words is "two billion, one hundred twenty-three million, three hundred sixty-six thousand, four hundred one".