2643129482067 has 64 divisors (see below), whose sum is σ = 4123545784320. Its totient is φ = 1671166598400.

The previous prime is 2643129482047. The next prime is 2643129482083. The reversal of 2643129482067 is 7602849213462.

It is a happy number.

2643129482067 is a `hidden beast` number, since 264 + 31 + 294 + 8 + 2 + 0 + 67 = 666.

It is not a de Polignac number, because 2643129482067 - 2⁶ = 2643129482003 is a prime.

It is a super-2 number, since 2×2643129482067² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2643129482047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9455092 + ... + 9730622.

It is an arithmetic number, because the mean of its divisors is an integer number (64430402880).

Almost surely, 2^{2643129482067} is an apocalyptic number.

2643129482067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2643129482067 is a deficient number, since it is larger than the sum of its proper divisors (1480416302253).

2643129482067 is a wasteful number, since it uses less digits than its factorization.

2643129482067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275801 (or 275795 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2643129482067 in words is "two trillion, six hundred forty-three billion, one hundred twenty-nine million, four hundred eighty-two thousand, sixty-seven".