2266817553 has 288 divisors, whose sum is σ = 5032564992. Its totient is φ = 945561600.

The previous prime is 2266817549. The next prime is 2266817561. The reversal of 2266817553 is 3557186622.

2266817553 is a `hidden beast` number, since 2 + 26 + 68 + 17 + 553 = 666.

It is not a de Polignac number, because 2266817553 - 2² = 2266817549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2266817499 and 2266817508.

It is not an unprimeable number, because it can be changed into a prime (2266817593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55288213 + ... + 55288253.

It is an arithmetic number, because the mean of its divisors is an integer number (17474184).

Almost surely, 2^2266817553 is an apocalyptic number.

It is an amenable number.

2266817553 is an abundant number, since it is smaller than the sum of its proper divisors (2765747439).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2266817553 is a wasteful number, since it uses less digits than its factorization.

2266817553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2266817553 is about 47611.1074540385. The cubic root of 2266817553 is about 1313.6273711774.

The spelling of 2266817553 in words is "two billion, two hundred sixty-six million, eight hundred seventeen thousand, five hundred fifty-three".