2254172038209 has 256 divisors, whose sum is σ = 4296395980800. Its totient is φ = 1136208902400.

The previous prime is 2254172038187. The next prime is 2254172038243. The reversal of 2254172038209 is 9028302714522.

2254172038209 is a `hidden beast` number, since 2 + 2 + 5 + 417 + 20 + 3 + 8 + 209 = 666.

It is not a de Polignac number, because 2254172038209 - 2¹¹ = 2254172036161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2254172037209) 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 255 ways as a sum of consecutive naturals, for example, 2624181222 + ... + 2624182080.

It is an arithmetic number, because the mean of its divisors is an integer number (16782796800).

Almost surely, 2^{2254172038209} is an apocalyptic number.

It is an amenable number.

2254172038209 is a deficient number, since it is larger than the sum of its proper divisors (2042223942591).

2254172038209 is a wasteful number, since it uses less digits than its factorization.

2254172038209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2254172038209 in words is "two trillion, two hundred fifty-four billion, one hundred seventy-two million, thirty-eight thousand, two hundred nine".