2447270761 has 16 divisors (see below), whose sum is σ = 2743870864. Its totient is φ = 2167824384.

The previous prime is 2447270759. The next prime is 2447270767. The reversal of 2447270761 is 1670727442.

2447270761 = 34980² + 34981².

It can be written as a sum of positive squares in 8 ways, for example, as 472801536 + 1974469225 = 21744^2 + 44435^2 .

It is a 7-Lehmer number, since φ(2447270761) divides (2447270761-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 2447270761 - 2¹ = 2447270759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2447270767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265 + ... + 69961.

It is an arithmetic number, because the mean of its divisors is an integer number (171491929).

Almost surely, 2^2447270761 is an apocalyptic number.

2447270761 is the 34981-st centered square number.

It is an amenable number.

2447270761 is a deficient number, since it is larger than the sum of its proper divisors (296600103).

2447270761 is a wasteful number, since it uses less digits than its factorization.

2447270761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69820.

The product of its (nonzero) digits is 131712, while the sum is 40.

The square root of 2447270761 is about 49469.8975236456. The cubic root of 2447270761 is about 1347.5989807083.

The spelling of 2447270761 in words is "two billion, four hundred forty-seven million, two hundred seventy thousand, seven hundred sixty-one".