2138400019 has 8 divisors (see below), whose sum is σ = 2500720640. Its totient is φ = 1790288136.

The previous prime is 2138399993. The next prime is 2138400053. The reversal of 2138400019 is 9100048312.

It is a happy number.

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

It is not a de Polignac number, because 2138400019 - 2⁵ = 2138399987 is a prime.

It is a super-2 number, since 2×2138400019² = 9145509282518400722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2138400019.

It is not an unprimeable number, because it can be changed into a prime (2138406019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3551859 + ... + 3552460.

It is an arithmetic number, because the mean of its divisors is an integer number (312590080).

Almost surely, 2^2138400019 is an apocalyptic number.

2138400019 is a deficient number, since it is larger than the sum of its proper divisors (362320621).

2138400019 is an equidigital number, since it uses as much as digits as its factorization.

2138400019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104369.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2138400019 is about 46242.8374886317. The cubic root of 2138400019 is about 1288.3375052271.

The spelling of 2138400019 in words is "two billion, one hundred thirty-eight million, four hundred thousand, nineteen".