2940133729 has 27 divisors (see below), whose sum is σ = 3293405433. Its totient is φ = 2623525632.

The previous prime is 2940133717. The next prime is 2940133733. The reversal of 2940133729 is 9273310492.

The square root of 2940133729 is 54223.

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 537173329 + 2402960400 = 23177^2 + 49020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2940133729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2940133691 and 2940133700.

It is not an unprimeable number, because it can be changed into a prime (2940133759) 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, 30310609 + ... + 30310705.

It is an arithmetic number, because the mean of its divisors is an integer number (121977979).

Almost surely, 2^2940133729 is an apocalyptic number.

2940133729 is the 54223-rd square number.

2940133729 is the 27112-nd centered octagonal number.

It is an amenable number.

2940133729 is a deficient number, since it is larger than the sum of its proper divisors (353271704).

2940133729 is an frugal number, since it uses more digits than its factorization.

2940133729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The cubic root of 2940133729 is about 1432.5914716506.

The spelling of 2940133729 in words is "two billion, nine hundred forty million, one hundred thirty-three thousand, seven hundred twenty-nine".