2072967945 has 16 divisors (see below), whose sum is σ = 3317958720. Its totient is φ = 1105179584.

The previous prime is 2072967931. The next prime is 2072967977. The reversal of 2072967945 is 5497692702.

It is a cyclic number.

It is not a de Polignac number, because 2072967945 - 2⁴ = 2072967929 is a prime.

It is a super-2 number, since 2×2072967945² = 8594392201995046050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19882 + ... + 67388.

It is an arithmetic number, because the mean of its divisors is an integer number (207372420).

Almost surely, 2^2072967945 is an apocalyptic number.

It is an amenable number.

2072967945 is a deficient number, since it is larger than the sum of its proper divisors (1244990775).

2072967945 is a wasteful number, since it uses less digits than its factorization.

2072967945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50424.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 2072967945 is about 45529.8577309440. The cubic root of 2072967945 is about 1275.0607060677.

The spelling of 2072967945 in words is "two billion, seventy-two million, nine hundred sixty-seven thousand, nine hundred forty-five".