2716380001638 has 24 divisors (see below), whose sum is σ = 5915065338000. Its totient is φ = 900909949104.

The previous prime is 2716380001637. The next prime is 2716380001667. The reversal of 2716380001638 is 8361000836172.

2716380001638 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 3 + 8 + 0 + 0 + 0 + 1 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2716380001593 and 2716380001602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2716380001631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379167273 + ... + 379174436.

It is an arithmetic number, because the mean of its divisors is an integer number (246461055750).

Almost surely, 2^{2716380001638} is an apocalyptic number.

2716380001638 is an abundant number, since it is smaller than the sum of its proper divisors (3198685336362).

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

2716380001638 is a wasteful number, since it uses less digits than its factorization.

2716380001638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758341916 (or 758341913 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2716380001638 in words is "two trillion, seven hundred sixteen billion, three hundred eighty million, one thousand, six hundred thirty-eight".