2400100193 has 2 divisors, whose sum is σ = 2400100194. Its totient is φ = 2400100192.

The previous prime is 2400100187. The next prime is 2400100211. The reversal of 2400100193 is 3910010042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2364196129 + 35904064 = 48623^2 + 5992^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400100193 - 2⁸ = 2400099937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200050096 + 1200050097.

It is an arithmetic number, because the mean of its divisors is an integer number (1200050097).

Almost surely, 2^2400100193 is an apocalyptic number.

It is an amenable number.

2400100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400100193 is an equidigital number, since it uses as much as digits as its factorization.

2400100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2400100193 is about 48990.8174355154. The cubic root of 2400100193 is about 1338.8845311538.

The spelling of 2400100193 in words is "two billion, four hundred million, one hundred thousand, one hundred ninety-three".