2115974620321 has 27 divisors (see below), whose sum is σ = 2305030604377. Its totient is φ = 1942001250560.

The previous prime is 2115974620261. The next prime is 2115974620367. The reversal of 2115974620321 is 1230264795112.

The square root of 2115974620321 is 1454639.

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

It can be written as a sum of positive squares in 4 ways, for example, as 149069349025 + 1966905271296 = 386095^2 + 1402464^2 .

It is not a de Polignac number, because 2115974620321 - 2²¹ = 2115972523169 is a prime.

It is a super-2 number, since 2×2115974620321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2115974620381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1013882340 + ... + 1013884426.

Almost surely, 2^{2115974620321} is an apocalyptic number.

2115974620321 is the 1454639-th square number.

2115974620321 is the 727320-th centered octagonal number.

It is an amenable number.

2115974620321 is a deficient number, since it is larger than the sum of its proper divisors (189055984056).

2115974620321 is an frugal number, since it uses more digits than its factorization.

2115974620321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 2115974620321 in words is "two trillion, one hundred fifteen billion, nine hundred seventy-four million, six hundred twenty thousand, three hundred twenty-one".