2967950406241 has 2 divisors, whose sum is σ = 2967950406242. Its totient is φ = 2967950406240.

The previous prime is 2967950406233. The next prime is 2967950406247. The reversal of 2967950406241 is 1426040597692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2812761682641 + 155188723600 = 1677129^2 + 393940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2967950406241 - 2³ = 2967950406233 is a prime.

It is a super-2 number, since 2×2967950406241² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2967950406247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1483975203120 + 1483975203121.

It is an arithmetic number, because the mean of its divisors is an integer number (1483975203121).

Almost surely, 2^{2967950406241} is an apocalyptic number.

It is an amenable number.

2967950406241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2967950406241 is an equidigital number, since it uses as much as digits as its factorization.

2967950406241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 2967950406241 in words is "two trillion, nine hundred sixty-seven billion, nine hundred fifty million, four hundred six thousand, two hundred forty-one".