The maximum power dissipation of the LTC6241IDD#PBF is 1.4W, but it can be limited by the thermal resistance of the package and the ambient temperature.
To optimize the layout, keep the input and output capacitors close to the IC, use a solid ground plane, and minimize the length of the input and output traces. Also, keep the sensitive analog traces away from the digital traces.
The recommended input capacitor value is 1uF to 10uF, depending on the input voltage and the desired ripple rejection. A larger capacitor value can provide better ripple rejection, but it may increase the startup time.
The LTC6241IDD#PBF is rated for operation from -40°C to 125°C, but the maximum junction temperature is 150°C. Make sure to derate the power dissipation and consider the thermal resistance of the package when operating at high temperatures.
To reduce noise and oscillations, use a low-ESR input capacitor, add a 10nF to 100nF capacitor between the BYPASS pin and GND, and minimize the length of the input and output traces. Also, consider adding a ferrite bead or a resistor in series with the input to reduce high-frequency noise.