2042929934721 has 81 divisors (see below), whose sum is σ = 3249696511971. Its totient is φ = 1236159628704.

The previous prime is 2042929934699. The next prime is 2042929934737. The reversal of 2042929934721 is 1274399292402.

The square root of 2042929934721 is 1429311.

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

2042929934721 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 9 + 299 + 347 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302208570225 + 1740721364496 = 549735^2 + 1319364^2 .

It is not a de Polignac number, because 2042929934721 - 2¹⁹ = 2042929410433 is a prime.

It is a super-3 number, since 3×2042929934721³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042929934761) 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, 3734789370 + ... + 3734789916.

Almost surely, 2^{2042929934721} is an apocalyptic number.

2042929934721 is the 1429311-st square number.

2042929934721 is the 714656-th centered octagonal number.

It is an amenable number.

2042929934721 is a deficient number, since it is larger than the sum of its proper divisors (1206766577250).

2042929934721 is an frugal number, since it uses more digits than its factorization.

2042929934721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2042929934721 in words is "two trillion, forty-two billion, nine hundred twenty-nine million, nine hundred thirty-four thousand, seven hundred twenty-one".