2138406667 has 8 divisors (see below), whose sum is σ = 2174570640. Its totient is φ = 2102278560.

The previous prime is 2138406653. The next prime is 2138406703. The reversal of 2138406667 is 7666048312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2138406667 - 2⁷ = 2138406539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2138406967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129009 + ... + 144637.

It is an arithmetic number, because the mean of its divisors is an integer number (271821330).

Almost surely, 2^2138406667 is an apocalyptic number.

2138406667 is a deficient number, since it is larger than the sum of its proper divisors (36163973).

2138406667 is a wasteful number, since it uses less digits than its factorization.

2138406667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933.

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 2138406667 is about 46242.9093699780. The cubic root of 2138406667 is about 1288.3388403154.

The spelling of 2138406667 in words is "two billion, one hundred thirty-eight million, four hundred six thousand, six hundred sixty-seven".