2252166849 has 15 divisors (see below), whose sum is σ = 3364986163. Its totient is φ = 1501159824.

The previous prime is 2252166841. The next prime is 2252166853. The reversal of 2252166849 is 9486612522.

The square root of 2252166849 is 47457.

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

2252166849 is a `hidden beast` number, since 22 + 521 + 6 + 68 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1111889025 + 1140277824 = 33345^2 + 33768^2 .

It is not a de Polignac number, because 2252166849 - 2³ = 2252166841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2252166841) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 424477 + ... + 429749.

Almost surely, 2^2252166849 is an apocalyptic number.

2252166849 is the 47457-th square number.

2252166849 is the 23729-th centered octagonal number.

It is an amenable number.

2252166849 is a deficient number, since it is larger than the sum of its proper divisors (1112819314).

2252166849 is an frugal number, since it uses more digits than its factorization.

2252166849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 5276 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 2252166849 is about 1310.7912103549.

The spelling of 2252166849 in words is "two billion, two hundred fifty-two million, one hundred sixty-six thousand, eight hundred forty-nine".