2638385971296 has 48 divisors (see below), whose sum is σ = 6945055084800. Its totient is φ = 877012224128.

The previous prime is 2638385971283. The next prime is 2638385971301. The reversal of 2638385971296 is 6921795838362.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2638385971296² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2638385971296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38242956 + ... + 38311883.

It is an arithmetic number, because the mean of its divisors is an integer number (144688647600).

Almost surely, 2^{2638385971296} is an apocalyptic number.

It is an amenable number.

2638385971296 is an abundant number, since it is smaller than the sum of its proper divisors (4306669113504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2638385971296 is a wasteful number, since it uses less digits than its factorization.

2638385971296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76555211 (or 76555203 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 2638385971296 in words is "two trillion, six hundred thirty-eight billion, three hundred eighty-five million, nine hundred seventy-one thousand, two hundred ninety-six".