2972201409969 has 64 divisors (see below), whose sum is σ = 4712458383360. Its totient is φ = 1645610757120.

The previous prime is 2972201409917. The next prime is 2972201409971. The reversal of 2972201409969 is 9699041022792.

It is not a de Polignac number, because 2972201409969 - 2¹⁹ = 2972200885681 is a prime.

It is a super-2 number, since 2×2972201409969² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2972201409979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8526312 + ... + 8868054.

It is an arithmetic number, because the mean of its divisors is an integer number (73632162240).

Almost surely, 2^{2972201409969} is an apocalyptic number.

It is an amenable number.

2972201409969 is a deficient number, since it is larger than the sum of its proper divisors (1740256973391).

2972201409969 is a wasteful number, since it uses less digits than its factorization.

2972201409969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342230.

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 2972201409969 in words is "two trillion, nine hundred seventy-two billion, two hundred one million, four hundred nine thousand, nine hundred sixty-nine".