2972135306 has 32 divisors (see below), whose sum is σ = 5368360320. Its totient is φ = 1205582400.

The previous prime is 2972135293. The next prime is 2972135311. The reversal of 2972135306 is 6035312792.

2972135306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2972135306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309416 + ... + 318876.

It is an arithmetic number, because the mean of its divisors is an integer number (167761260).

Almost surely, 2^2972135306 is an apocalyptic number.

2972135306 is a deficient number, since it is larger than the sum of its proper divisors (2396225014).

2972135306 is a wasteful number, since it uses less digits than its factorization.

2972135306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 2972135306 is about 54517.2936415593. The cubic root of 2972135306 is about 1437.7703576786.

The spelling of 2972135306 in words is "two billion, nine hundred seventy-two million, one hundred thirty-five thousand, three hundred six".