2671626209121 has 9 divisors (see below), whose sum is σ = 3859022718291. Its totient is φ = 1781080870392.

The previous prime is 2671626209111. The next prime is 2671626209123. The reversal of 2671626209121 is 1219026261762.

The square root of 2671626209121 is 1634511.

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

2671626209121 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 6 + 2 + 620 + 9 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 690187100625 + 1981439108496 = 830775^2 + 1407636^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2671626209121 - 2⁵ = 2671626209089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2671626209123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4631115 + ... + 5175951.

Almost surely, 2^{2671626209121} is an apocalyptic number.

2671626209121 is the 1634511-st square number.

2671626209121 is the 817256-th centered octagonal number.

It is an amenable number.

2671626209121 is a deficient number, since it is larger than the sum of its proper divisors (1187396509170).

2671626209121 is an frugal number, since it uses more digits than its factorization.

2671626209121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089680 (or 544840 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2671626209121 in words is "two trillion, six hundred seventy-one billion, six hundred twenty-six million, two hundred nine thousand, one hundred twenty-one".