2272904811409 has 2 divisors, whose sum is σ = 2272904811410. Its totient is φ = 2272904811408.

The previous prime is 2272904811349. The next prime is 2272904811413. The reversal of 2272904811409 is 9041184092722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1284829051009 + 988075760400 = 1133503^2 + 994020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2272904811409 - 2¹³ = 2272904803217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2272904814409) 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 as a sum of consecutive naturals, namely, 1136452405704 + 1136452405705.

It is an arithmetic number, because the mean of its divisors is an integer number (1136452405705).

Almost surely, 2^{2272904811409} is an apocalyptic number.

It is an amenable number.

2272904811409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2272904811409 is an equidigital number, since it uses as much as digits as its factorization.

2272904811409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 2272904811409 in words is "two trillion, two hundred seventy-two billion, nine hundred four million, eight hundred eleven thousand, four hundred nine".