2400220406209 has 2 divisors, whose sum is σ = 2400220406210. Its totient is φ = 2400220406208.

The previous prime is 2400220406183. The next prime is 2400220406231. The reversal of 2400220406209 is 9026040220042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2391826181809 + 8394224400 = 1546553^2 + 91620^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400220406209 - 2⁷ = 2400220406081 is a prime.

It is a super-2 number, since 2×2400220406209² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2400220406239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200110203104 + 1200110203105.

It is an arithmetic number, because the mean of its divisors is an integer number (1200110203105).

Almost surely, 2^{2400220406209} is an apocalyptic number.

It is an amenable number.

2400220406209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400220406209 is an equidigital number, since it uses as much as digits as its factorization.

2400220406209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 2400220406209 in words is "two trillion, four hundred billion, two hundred twenty million, four hundred six thousand, two hundred nine".