2736367872037 has 2 divisors, whose sum is σ = 2736367872038. Its totient is φ = 2736367872036.

The previous prime is 2736367871971. The next prime is 2736367872047. The reversal of 2736367872037 is 7302787636372.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2605751406756 + 130616465281 = 1614234^2 + 361409^2 .

It is a cyclic number.

It is not a de Polignac number, because 2736367872037 - 2²⁷ = 2736233654309 is a prime.

It is a super-2 number, since 2×2736367872037² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2736367872047) by changing a digit.

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 as a sum of consecutive naturals, namely, 1368183936018 + 1368183936019.

It is an arithmetic number, because the mean of its divisors is an integer number (1368183936019).

Almost surely, 2^{2736367872037} is an apocalyptic number.

It is an amenable number.

2736367872037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2736367872037 is an equidigital number, since it uses as much as digits as its factorization.

2736367872037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74680704, while the sum is 61.

The spelling of 2736367872037 in words is "two trillion, seven hundred thirty-six billion, three hundred sixty-seven million, eight hundred seventy-two thousand, thirty-seven".