2217838756081 has 27 divisors (see below), whose sum is σ = 2428635108483. Its totient is φ = 2024414645760.

The previous prime is 2217838756073. The next prime is 2217838756087. The reversal of 2217838756081 is 1806578387122.

The square root of 2217838756081 is 1489241.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 994425789681 + 1223412966400 = 997209^2 + 1106080^2 .

It is not a de Polignac number, because 2217838756081 - 2³ = 2217838756073 is a prime.

It is a super-2 number, since 2×2217838756081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2217838756087) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1877932311 + ... + 1877933491.

Almost surely, 2^{2217838756081} is an apocalyptic number.

2217838756081 is the 1489241-st square number.

2217838756081 is the 744621-st centered octagonal number.

It is an amenable number.

2217838756081 is a deficient number, since it is larger than the sum of its proper divisors (210796352402).

2217838756081 is an frugal number, since it uses more digits than its factorization.

2217838756081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 2217838756081 in words is "two trillion, two hundred seventeen billion, eight hundred thirty-eight million, seven hundred fifty-six thousand, eighty-one".