2042267664301 has 2 divisors, whose sum is σ = 2042267664302. Its totient is φ = 2042267664300.

The previous prime is 2042267664299. The next prime is 2042267664313. The reversal of 2042267664301 is 1034667622402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1543868375625 + 498399288676 = 1242525^2 + 705974^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042267664301 - 2¹ = 2042267664299 is a prime.

Together with 2042267664299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042267664331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021133832150 + 1021133832151.

It is an arithmetic number, because the mean of its divisors is an integer number (1021133832151).

Almost surely, 2^{2042267664301} is an apocalyptic number.

It is an amenable number.

2042267664301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042267664301 is an equidigital number, since it uses as much as digits as its factorization.

2042267664301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 2042267664301 in words is "two trillion, forty-two billion, two hundred sixty-seven million, six hundred sixty-four thousand, three hundred one".