2794336827129 has 81 divisors (see below), whose sum is σ = 4356901078023. Its totient is φ = 1725440016384.

The previous prime is 2794336827109. The next prime is 2794336827131. The reversal of 2794336827129 is 9217286334972.

The square root of 2794336827129 is 1671627.

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

2794336827129 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 336 + 8 + 271 + 29 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 260127540729 + 2534209286400 = 510027^2 + 1591920^2 .

It is not a de Polignac number, because 2794336827129 - 2¹⁹ = 2794336302841 is a prime.

It is a super-3 number, since 3×2794336827129³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2794336827109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6223467097 + ... + 6223467545.

Almost surely, 2^{2794336827129} is an apocalyptic number.

2794336827129 is the 1671627-th square number.

2794336827129 is the 835814-th centered octagonal number.

It is an amenable number.

2794336827129 is a deficient number, since it is larger than the sum of its proper divisors (1562564250894).

2794336827129 is an frugal number, since it uses more digits than its factorization.

2794336827129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 542 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 2794336827129 in words is "two trillion, seven hundred ninety-four billion, three hundred thirty-six million, eight hundred twenty-seven thousand, one hundred twenty-nine".