2264111125209 has 24 divisors (see below), whose sum is σ = 3388783998600. Its totient is φ = 1454933894400.

The previous prime is 2264111125193. The next prime is 2264111125217. The reversal of 2264111125209 is 9025211114622.

2264111125209 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 11 + 112 + 520 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 482646993984 + 1781464131225 = 694728^2 + 1334715^2 .

It is not a de Polignac number, because 2264111125209 - 2⁴ = 2264111125193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2264111125229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7060074 + ... + 7373795.

It is an arithmetic number, because the mean of its divisors is an integer number (141199333275).

Almost surely, 2^{2264111125209} is an apocalyptic number.

2264111125209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2264111125209 is a deficient number, since it is larger than the sum of its proper divisors (1124672873391).

2264111125209 is a wasteful number, since it uses less digits than its factorization.

2264111125209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14434505 (or 14434502 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2264111125209 in words is "two trillion, two hundred sixty-four billion, one hundred eleven million, one hundred twenty-five thousand, two hundred nine".