2147680261 has 16 divisors (see below), whose sum is σ = 2308784688. Its totient is φ = 1990656000.

The previous prime is 2147680259. The next prime is 2147680277. The reversal of 2147680261 is 1620867412.

2147680261 = 32769² + 32770².

It can be written as a sum of positive squares in 8 ways, for example, as 656948161 + 1490732100 = 25631^2 + 38610^2 .

It is a 8-Lehmer number, since φ(2147680261) divides (2147680261-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 2147680261 - 2¹ = 2147680259 is a prime.

It is a super-2 number, since 2×2147680261² = 9225061006978056242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2147680261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147680291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328141 + ... + 334621.

It is an arithmetic number, because the mean of its divisors is an integer number (144299043).

Almost surely, 2^2147680261 is an apocalyptic number.

2147680261 is the 32770-th centered square number.

It is an amenable number.

2147680261 is a deficient number, since it is larger than the sum of its proper divisors (161104427).

2147680261 is a wasteful number, since it uses less digits than its factorization.

2147680261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2147680261 is about 46343.0713375797. The cubic root of 2147680261 is about 1290.1985274249.

The spelling of 2147680261 in words is "two billion, one hundred forty-seven million, six hundred eighty thousand, two hundred sixty-one".