2272064831569 has 27 divisors (see below), whose sum is σ = 2514762786267. Its totient is φ = 2051835359184.

The previous prime is 2272064831549. The next prime is 2272064831581. The reversal of 2272064831569 is 9651384602722.

It is a happy number.

The square root of 2272064831569 is 1507337.

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

It can be written as a sum of positive squares in only one way, i.e., 336104265025 + 1935960566544 = 579745^2 + 1391388^2 .

It is not a de Polignac number, because 2272064831569 - 2⁵ = 2272064831537 is a prime.

It is a super-2 number, since 2×2272064831569² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2272064831549) 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, 920981674 + ... + 920984140.

It is a 1-persistent number, because it is pandigital, but 2⋅2272064831569 = 4544129663138 is not.

Almost surely, 2^{2272064831569} is an apocalyptic number.

2272064831569 is the 1507337-th square number.

2272064831569 is the 753669-th centered octagonal number.

It is an amenable number.

2272064831569 is a deficient number, since it is larger than the sum of its proper divisors (242697954698).

2272064831569 is an frugal number, since it uses more digits than its factorization.

2272064831569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 2272064831569 in words is "two trillion, two hundred seventy-two billion, sixty-four million, eight hundred thirty-one thousand, five hundred sixty-nine".