2046928242681 has 81 divisors (see below), whose sum is σ = 3467131300269. Its totient is φ = 1160316444672.

The previous prime is 2046928242661. The next prime is 2046928242683. The reversal of 2046928242681 is 1862428296402.

The square root of 2046928242681 is 1430709.

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

2046928242681 is a `hidden beast` number, since 2 + 0 + 4 + 69 + 2 + 82 + 426 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 260856369081 + 1786071873600 = 510741^2 + 1336440^2 .

It is not a de Polignac number, because 2046928242681 - 2¹³ = 2046928234489 is a prime.

It is a super-2 number, since 2×2046928242681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2046928242683) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5798663401 + ... + 5798663753.

Almost surely, 2^{2046928242681} is an apocalyptic number.

2046928242681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2046928242681 is the 1430709-th square number.

2046928242681 is the 715355-th centered octagonal number.

It is an amenable number.

2046928242681 is a deficient number, since it is larger than the sum of its proper divisors (1420203057588).

2046928242681 is an frugal number, since it uses more digits than its factorization.

2046928242681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2046928242681 in words is "two trillion, forty-six billion, nine hundred twenty-eight million, two hundred forty-two thousand, six hundred eighty-one".