2101766364009 has 45 divisors (see below), whose sum is σ = 3400041552039. Its totient is φ = 1293290303760.

The previous prime is 2101766363981. The next prime is 2101766364041. The reversal of 2101766364009 is 9004636671012.

The square root of 2101766364009 is 1449747.

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

2101766364009 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 7 + 6 + 636 + 4 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 310912184025 + 1790854179984 = 557595^2 + 1338228^2 .

It is not a de Polignac number, because 2101766364009 - 2¹³ = 2101766355817 is a prime.

It is a super-2 number, since 2×2101766364009² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101766314009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169614204 + ... + 169626594.

Almost surely, 2^{2101766364009} is an apocalyptic number.

2101766364009 is the 1449747-th square number.

2101766364009 is the 724874-th centered octagonal number.

It is an amenable number.

2101766364009 is a deficient number, since it is larger than the sum of its proper divisors (1298275188030).

2101766364009 is an frugal number, since it uses more digits than its factorization.

2101766364009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24820 (or 12407 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2101766364009 in words is "two trillion, one hundred one billion, seven hundred sixty-six million, three hundred sixty-four thousand, nine".