2171627141 has 32 divisors (see below), whose sum is σ = 2402107488. Its totient is φ = 1955266560.

The previous prime is 2171627137. The next prime is 2171627153. The reversal of 2171627141 is 1417261712.

It can be written as a sum of positive squares in 16 ways, for example, as 13653025 + 2157974116 = 3695^2 + 46454^2 .

It is not a de Polignac number, because 2171627141 - 2² = 2171627137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2171627098 and 2171627107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171627111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9010781 + ... + 9011021.

It is an arithmetic number, because the mean of its divisors is an integer number (75065859).

Almost surely, 2^2171627141 is an apocalyptic number.

It is an amenable number.

2171627141 is a deficient number, since it is larger than the sum of its proper divisors (230480347).

2171627141 is a wasteful number, since it uses less digits than its factorization.

2171627141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521.

The product of its digits is 4704, while the sum is 32.

The square root of 2171627141 is about 46600.7203914274. The cubic root of 2171627141 is about 1294.9761012867.

Adding to 2171627141 its reverse (1417261712), we get a palindrome (3588888853).

The spelling of 2171627141 in words is "two billion, one hundred seventy-one million, six hundred twenty-seven thousand, one hundred forty-one".