2738400193 has 2 divisors, whose sum is σ = 2738400194. Its totient is φ = 2738400192.

The previous prime is 2738400191. The next prime is 2738400233. The reversal of 2738400193 is 3910048372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1470185649 + 1268214544 = 38343^2 + 35612^2 .

It is a cyclic number.

It is not a de Polignac number, because 2738400193 - 2¹ = 2738400191 is a prime.

It is a super-4 number, since 4×2738400193⁴ (a number of 39 digits) contains 4444 as substring.

Together with 2738400191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2738400191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1369200096 + 1369200097.

It is an arithmetic number, because the mean of its divisors is an integer number (1369200097).

Almost surely, 2^2738400193 is an apocalyptic number.

It is an amenable number.

2738400193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2738400193 is an equidigital number, since it uses as much as digits as its factorization.

2738400193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2738400193 is about 52329.7257111099. The cubic root of 2738400193 is about 1399.0470033017.

The spelling of 2738400193 in words is "two billion, seven hundred thirty-eight million, four hundred thousand, one hundred ninety-three".